What is the Least Common Multiple of 57624 and 57629?

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 57624 and 57629 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 57624 and 57629, than apply into the LCM equation.

GCF(57624,57629) = 1
LCM(57624,57629) = ( 57624 × 57629) / 1
LCM(57624,57629) = 3320813496 / 1
LCM(57624,57629) = 3320813496

Least Common Multiple (LCM) of 57624 and 57629 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 57624 and 57629. First we will calculate the prime factors of 57624 and 57629.

Prime Factorization of 57624

Prime Factorization of 57629

Now multiplying the highest exponent prime factors to calculate the LCM of 57624 and 57629.

LCM(57624,57629) = 2³ × 3¹ × 7⁴ × 11¹ × 13² × 31¹
LCM(57624,57629) = 3320813496