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Least Common Multiple

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Least Common Multiple

Calculate the Least Common Multiple or LCM of 88, 112, 118 and 124

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The instructions to find the LCM of 88, 112, 118 and 124 are the next:

1. Decompose all numbers into prime factors

88	2
44	2
22	2
11	11
1

112	2
56	2
28	2
14	2
7	7
1

118	2
59	59
1

124	2
62	2
31	31
1

2. Write all numbers as the product of its prime factors

Prime factors of 88	=	2³ . 11
Prime factors of 112	=	2⁴ . 7
Prime factors of 118	=	2 . 59
Prime factors of 124	=	2² . 31

3. Choose the common and uncommon prime factors with the greatest exponent

Common prime factors: 2

Common prime factors with the greatest exponent: 2⁴

Uncommon prime factors: 11 , 7 , 59 , 31

Uncommon prime factors with the greatest exponent: 11¹, 7¹, 59¹, 31¹

4. Calculate the Least Common Multiple or LCM

Remember, to find the LCM of several numbers you must multiply the common and uncommon prime factors with the greatest exponent of those numbers.

LCM = 2⁴. 11¹. 7¹. 59¹. 31¹ = 2253328

Also calculates the:

Greatest Common Factor or GCF of 88, 112, 118 and 124

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