What is the Least Common Multiple of 64392 and 64397?

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 64392 and 64397 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64392 and 64397, than apply into the LCM equation.

GCF(64392,64397) = 1
LCM(64392,64397) = ( 64392 × 64397) / 1
LCM(64392,64397) = 4146651624 / 1
LCM(64392,64397) = 4146651624

Least Common Multiple (LCM) of 64392 and 64397 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64392 and 64397. First we will calculate the prime factors of 64392 and 64397.

Prime Factorization of 64392

Prime Factorization of 64397

Now multiplying the highest exponent prime factors to calculate the LCM of 64392 and 64397.

LCM(64392,64397) = 2³ × 3¹ × 2683¹ × 71¹ × 907¹
LCM(64392,64397) = 4146651624