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Least Common Multiple of 120 and 136

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least common multiple (LCM) of 120 and 136 is 2040.

LCM(120,136) = 2040

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Least Common Multiple of 120 and 136 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 120 and 136, than apply into the LCM equation.

GCF(120,136) = 8
LCM(120,136) = ( 120 × 136) / 8
LCM(120,136) = 16320 / 8
LCM(120,136) = 2040

Least Common Multiple (LCM) of 120 and 136 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 120 and 136. First we will calculate the prime factors of 120 and 136.

Prime Factorization of 120

Prime factors of 120 are 2, 3, 5. Prime factorization of 120 in exponential form is:

120 = 23 × 31 × 51

Prime Factorization of 136

Prime factors of 136 are 2, 17. Prime factorization of 136 in exponential form is:

136 = 23 × 171

Now multiplying the highest exponent prime factors to calculate the LCM of 120 and 136.

LCM(120,136) = 23 × 31 × 51 × 171
LCM(120,136) = 2040

Recent Comments
Aditya 2020-02-24 06:40:03

Nice method

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