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What is the Least Common Multiple of 15618 and 15627?

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 15618 and 15627 is 81354162.

LCM(15618,15627) = 81354162

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Least Common Multiple of 15618 and 15627 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 15618 and 15627, than apply into the LCM equation.

GCF(15618,15627) = 3
LCM(15618,15627) = ( 15618 × 15627) / 3
LCM(15618,15627) = 244062486 / 3
LCM(15618,15627) = 81354162

Least Common Multiple (LCM) of 15618 and 15627 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 15618 and 15627. First we will calculate the prime factors of 15618 and 15627.

Prime Factorization of 15618

Prime factors of 15618 are 2, 3, 19, 137. Prime factorization of 15618 in exponential form is:

15618 = 21 × 31 × 191 × 1371

Prime Factorization of 15627

Prime factors of 15627 are 3, 5209. Prime factorization of 15627 in exponential form is:

15627 = 31 × 52091

Now multiplying the highest exponent prime factors to calculate the LCM of 15618 and 15627.

LCM(15618,15627) = 21 × 31 × 191 × 1371 × 52091
LCM(15618,15627) = 81354162