What is the Least Common Multiple of 52624 and 52641?

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 52624 and 52641 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 52624 and 52641, than apply into the LCM equation.

GCF(52624,52641) = 1
LCM(52624,52641) = ( 52624 × 52641) / 1
LCM(52624,52641) = 2770179984 / 1
LCM(52624,52641) = 2770179984

Least Common Multiple (LCM) of 52624 and 52641 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 52624 and 52641. First we will calculate the prime factors of 52624 and 52641.

Prime Factorization of 52624

Prime Factorization of 52641

Now multiplying the highest exponent prime factors to calculate the LCM of 52624 and 52641.

LCM(52624,52641) = 2⁴ × 11¹ × 13¹ × 23¹ × 3² × 5849¹
LCM(52624,52641) = 2770179984