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What is the Least Common Multiple of 10657 and 10672?

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 10657 and 10672 is 113731504.

LCM(10657,10672) = 113731504

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Least Common Multiple of 10657 and 10672 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10657 and 10672, than apply into the LCM equation.

GCF(10657,10672) = 1
LCM(10657,10672) = ( 10657 × 10672) / 1
LCM(10657,10672) = 113731504 / 1
LCM(10657,10672) = 113731504

Least Common Multiple (LCM) of 10657 and 10672 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 10657 and 10672. First we will calculate the prime factors of 10657 and 10672.

Prime Factorization of 10657

Prime factors of 10657 are 10657. Prime factorization of 10657 in exponential form is:

10657 = 106571

Prime Factorization of 10672

Prime factors of 10672 are 2, 23, 29. Prime factorization of 10672 in exponential form is:

10672 = 24 × 231 × 291

Now multiplying the highest exponent prime factors to calculate the LCM of 10657 and 10672.

LCM(10657,10672) = 106571 × 24 × 231 × 291
LCM(10657,10672) = 113731504