What is the Least Common Multiple of 57618 and 57638?

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 of 57618 and 57638 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 57618 and 57638, than apply into the LCM equation.

GCF(57618,57638) = 2
LCM(57618,57638) = ( 57618 × 57638) / 2
LCM(57618,57638) = 3320986284 / 2
LCM(57618,57638) = 1660493142

Least Common Multiple (LCM) of 57618 and 57638 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 57618 and 57638. First we will calculate the prime factors of 57618 and 57638.

Prime Factorization of 57618

Prime Factorization of 57638

Now multiplying the highest exponent prime factors to calculate the LCM of 57618 and 57638.

LCM(57618,57638) = 2¹ × 3³ × 11¹ × 97¹ × 7¹ × 23¹ × 179¹
LCM(57618,57638) = 1660493142