What is the Least Common Multiple of 116 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 116 and 136 is 3944.

LCM(116,136) = 3944

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Least Common Multiple of 116 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 116 and 136, than apply into the LCM equation.

GCF(116,136) = 4
LCM(116,136) = ( 116 × 136) / 4
LCM(116,136) = 15776 / 4
LCM(116,136) = 3944

Least Common Multiple (LCM) of 116 and 136 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 116 and 136. First we will calculate the prime factors of 116 and 136.

Prime Factorization of 116

Prime factors of 116 are 2, 29. Prime factorization of 116 in exponential form is:

116 = 22 × 291

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 116 and 136.

LCM(116,136) = 23 × 291 × 171
LCM(116,136) = 3944