What is the lCM of 56

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gsenviro's profile pic

gsenviro | College Teacher | (Level 1) Educator Emeritus

Posted on

LCM or least common multiple of 56

LCM of two or more numbers is the smallest number that is divisible by both or all of them.

We generally find LCM of 2 or more numbers. 

Assuming you meant LCM of 5 and 6.

There is no common factor of 5 and 6.

The LCM of 5 and 6 = 5 x 6 = 30

(LCM is the product of factors the maximum times they occur).

If you meant LCM of 56. First we will have to factor 56

56 can also be written as the product of 7 and 8 (which is product of 2 three times)

56 = 7 x 2 x 2 x 2

Since no other number is given, the smallest number that is divisible by 56 is 56 itself.

Hope this helps.

ayeshamahajan's profile pic

ayeshamahajan | eNotes Newbie

Posted on

56 = 2^3*7

The least common multiple must have each of the
prime factors in their highest power.


lcm = (2^3)*3*7 = 168

hope this helps..

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