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What is the Least Common Multiple of 15637 and 15652?

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 15637 and 15652 is 244750324.

LCM(15637,15652) = 244750324

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Least Common Multiple of 15637 and 15652 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 15637 and 15652, than apply into the LCM equation.

GCF(15637,15652) = 1
LCM(15637,15652) = ( 15637 × 15652) / 1
LCM(15637,15652) = 244750324 / 1
LCM(15637,15652) = 244750324

Least Common Multiple (LCM) of 15637 and 15652 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 15637 and 15652. First we will calculate the prime factors of 15637 and 15652.

Prime Factorization of 15637

Prime factors of 15637 are 19, 823. Prime factorization of 15637 in exponential form is:

15637 = 191 × 8231

Prime Factorization of 15652

Prime factors of 15652 are 2, 7, 13, 43. Prime factorization of 15652 in exponential form is:

15652 = 22 × 71 × 131 × 431

Now multiplying the highest exponent prime factors to calculate the LCM of 15637 and 15652.

LCM(15637,15652) = 191 × 8231 × 22 × 71 × 131 × 431
LCM(15637,15652) = 244750324