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What is the Least Common Multiple of 15658 and 15672?

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 15658 and 15672 is 122696088.

LCM(15658,15672) = 122696088

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Least Common Multiple of 15658 and 15672 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 15658 and 15672, than apply into the LCM equation.

GCF(15658,15672) = 2
LCM(15658,15672) = ( 15658 × 15672) / 2
LCM(15658,15672) = 245392176 / 2
LCM(15658,15672) = 122696088

Least Common Multiple (LCM) of 15658 and 15672 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 15658 and 15672. First we will calculate the prime factors of 15658 and 15672.

Prime Factorization of 15658

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

15658 = 21 × 78291

Prime Factorization of 15672

Prime factors of 15672 are 2, 3, 653. Prime factorization of 15672 in exponential form is:

15672 = 23 × 31 × 6531

Now multiplying the highest exponent prime factors to calculate the LCM of 15658 and 15672.

LCM(15658,15672) = 23 × 78291 × 31 × 6531
LCM(15658,15672) = 122696088