What is the Least Common Multiple of 39624 and 39635?

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 39624 and 39635 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 39624 and 39635, than apply into the LCM equation.

GCF(39624,39635) = 1
LCM(39624,39635) = ( 39624 × 39635) / 1
LCM(39624,39635) = 1570497240 / 1
LCM(39624,39635) = 1570497240

Least Common Multiple (LCM) of 39624 and 39635 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 39624 and 39635. First we will calculate the prime factors of 39624 and 39635.

Prime Factorization of 39624

Prime Factorization of 39635

Now multiplying the highest exponent prime factors to calculate the LCM of 39624 and 39635.

LCM(39624,39635) = 2³ × 3¹ × 13¹ × 127¹ × 5¹ × 7927¹
LCM(39624,39635) = 1570497240