I have a CoordinatroLayoutwith FloatingActionButton. Here is my code:
<android.support.design.widget.CoordinatorLayout
        xmlns:android="http://schemas.android.com/apk/res/android"
        xmlns:app="http://schemas.android.com/apk/res-auto"
        android:layout_width="match_parent"
        android:layout_height="match_parent"
        android:layout_below="@+id/toolbar_layout"
        android:layout_above="@+id/actionbar">
        <LinearLayout
            android:layout_width="wrap_content"
            android:layout_height="wrap_content"
            android:orientation="vertical">
            <android.support.v7.widget.Toolbar xmlns:android="http://schemas.android.com/apk/res/android"
                android:id="@+id/toolbar"
                android:layout_width="match_parent"
                android:layout_height="120dp"
                android:minHeight="?android:attr/actionBarSize"
                android:background="@color/toolbar_color" />
            <ScrollView
                android:layout_width="match_parent"
                android:layout_height="wrap_content"
                >
            </ScrollView>
        </LinearLayout>
        <android.support.design.widget.FloatingActionButton
            android:id="@+id/fab"
            android:layout_width="wrap_content"
            android:layout_height="wrap_content"
            android:clickable="true"
            app:fabSize="mini"
            android:src="@mipmap/ic_action_edit"
            app:layout_anchor="@id/toolbar"
            app:layout_anchorGravity="bottom|right|end"
            app:backgroundTint="@color/toolbar_color"            />
        </android.support.design.widget.CoordinatorLayout>
But it appears differently in lollipop and pre-lollipop devices.
Lollipop:

Pre-Lollipop:

Actually I haven't add any margin. But FAB has margin in pre-lollipop devices.
I have also seen this problem in cheessesquare sample. It shows different margins too. What is the problem?
I dont think you want to place them without margins. If I understood it right, you've done this to see whats going on in different versions of android.
You can use
app:useCompatPadding="true"and remove custom margins to maintain same margins across different versions of android

Proof of concept

According to this link, it seems to be a bug in android design library. It says that:
in API <20, the button renders its own shadow, which adds to the overall logical width of the view, whereas in API >=20 it uses the new Elevation parameters which don't contribute to the view width.
So I have to provide two resource files for margin:
res/values:
<dimen name= "fab_margin_right">0dp</dimen>
And in res/values-v21:
<dimen name = "fab_margin_right">8dp</dimen>
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