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What is the Least Common Multiple of 67637 and 67646?

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 67637 and 67646 is 4575372502.

LCM(67637,67646) = 4575372502

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Least Common Multiple of 67637 and 67646 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67637 and 67646, than apply into the LCM equation.

GCF(67637,67646) = 1
LCM(67637,67646) = ( 67637 × 67646) / 1
LCM(67637,67646) = 4575372502 / 1
LCM(67637,67646) = 4575372502

Least Common Multiple (LCM) of 67637 and 67646 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67637 and 67646. First we will calculate the prime factors of 67637 and 67646.

Prime Factorization of 67637

Prime factors of 67637 are 239, 283. Prime factorization of 67637 in exponential form is:

67637 = 2391 × 2831

Prime Factorization of 67646

Prime factors of 67646 are 2, 149, 227. Prime factorization of 67646 in exponential form is:

67646 = 21 × 1491 × 2271

Now multiplying the highest exponent prime factors to calculate the LCM of 67637 and 67646.

LCM(67637,67646) = 2391 × 2831 × 21 × 1491 × 2271
LCM(67637,67646) = 4575372502