What is the Least Common Multiple of 64456 and 64471?

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 64456 and 64471 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64456 and 64471, than apply into the LCM equation.

GCF(64456,64471) = 1
LCM(64456,64471) = ( 64456 × 64471) / 1
LCM(64456,64471) = 4155542776 / 1
LCM(64456,64471) = 4155542776

Least Common Multiple (LCM) of 64456 and 64471 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64456 and 64471. First we will calculate the prime factors of 64456 and 64471.

Prime Factorization of 64456

Prime Factorization of 64471

Now multiplying the highest exponent prime factors to calculate the LCM of 64456 and 64471.

LCM(64456,64471) = 2³ × 7¹ × 1151¹ × 11¹ × 5861¹
LCM(64456,64471) = 4155542776