What is the Least Common Multiple of 60618 and 60634?

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 60618 and 60634 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60618 and 60634, than apply into the LCM equation.

GCF(60618,60634) = 2
LCM(60618,60634) = ( 60618 × 60634) / 2
LCM(60618,60634) = 3675511812 / 2
LCM(60618,60634) = 1837755906

Least Common Multiple (LCM) of 60618 and 60634 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 60618 and 60634. First we will calculate the prime factors of 60618 and 60634.

Prime Factorization of 60618

Prime Factorization of 60634

Now multiplying the highest exponent prime factors to calculate the LCM of 60618 and 60634.

LCM(60618,60634) = 2¹ × 3¹ × 10103¹ × 7¹ × 61¹ × 71¹
LCM(60618,60634) = 1837755906