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What is the Least Common Multiple of 15647 and 15658?

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 15647 and 15658 is 245000726.

LCM(15647,15658) = 245000726

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Least Common Multiple of 15647 and 15658 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 15647 and 15658, than apply into the LCM equation.

GCF(15647,15658) = 1
LCM(15647,15658) = ( 15647 × 15658) / 1
LCM(15647,15658) = 245000726 / 1
LCM(15647,15658) = 245000726

Least Common Multiple (LCM) of 15647 and 15658 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 15647 and 15658. First we will calculate the prime factors of 15647 and 15658.

Prime Factorization of 15647

Prime factors of 15647 are 15647. Prime factorization of 15647 in exponential form is:

15647 = 156471

Prime Factorization of 15658

Prime factors of 15658 are 2, 7829. Prime factorization of 15658 in exponential form is:

15658 = 21 × 78291

Now multiplying the highest exponent prime factors to calculate the LCM of 15647 and 15658.

LCM(15647,15658) = 156471 × 21 × 78291
LCM(15647,15658) = 245000726