What is the Least Common Multiple of 64624 and 64641?

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 64624 and 64641 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64624 and 64641, than apply into the LCM equation.

GCF(64624,64641) = 1
LCM(64624,64641) = ( 64624 × 64641) / 1
LCM(64624,64641) = 4177359984 / 1
LCM(64624,64641) = 4177359984

Least Common Multiple (LCM) of 64624 and 64641 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64624 and 64641. First we will calculate the prime factors of 64624 and 64641.

Prime Factorization of 64624

Prime Factorization of 64641

Now multiplying the highest exponent prime factors to calculate the LCM of 64624 and 64641.

LCM(64624,64641) = 2⁴ × 7¹ × 577¹ × 3¹ × 29¹ × 743¹
LCM(64624,64641) = 4177359984