What is the Least Common Multiple of 94614 and 94627?

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 94614 and 94627 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94614 and 94627, than apply into the LCM equation.

GCF(94614,94627) = 13
LCM(94614,94627) = ( 94614 × 94627) / 13
LCM(94614,94627) = 8953038978 / 13
LCM(94614,94627) = 688695306

Least Common Multiple (LCM) of 94614 and 94627 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94614 and 94627. First we will calculate the prime factors of 94614 and 94627.

Prime Factorization of 94614

Prime Factorization of 94627

Now multiplying the highest exponent prime factors to calculate the LCM of 94614 and 94627.

LCM(94614,94627) = 2¹ × 3¹ × 13¹ × 1213¹ × 29¹ × 251¹
LCM(94614,94627) = 688695306