What is the Least Common Multiple of 19624 and 19641?

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 19624 and 19641 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 19624 and 19641, than apply into the LCM equation.

GCF(19624,19641) = 1
LCM(19624,19641) = ( 19624 × 19641) / 1
LCM(19624,19641) = 385434984 / 1
LCM(19624,19641) = 385434984

Least Common Multiple (LCM) of 19624 and 19641 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 19624 and 19641. First we will calculate the prime factors of 19624 and 19641.

Prime Factorization of 19624

Prime Factorization of 19641

Now multiplying the highest exponent prime factors to calculate the LCM of 19624 and 19641.

LCM(19624,19641) = 2³ × 11¹ × 223¹ × 3¹ × 6547¹
LCM(19624,19641) = 385434984