What is the Least Common Multiple of 64338 and 64352?

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 64338 and 64352 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64338 and 64352, than apply into the LCM equation.

GCF(64338,64352) = 2
LCM(64338,64352) = ( 64338 × 64352) / 2
LCM(64338,64352) = 4140278976 / 2
LCM(64338,64352) = 2070139488

Least Common Multiple (LCM) of 64338 and 64352 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64338 and 64352. First we will calculate the prime factors of 64338 and 64352.

Prime Factorization of 64338

Prime Factorization of 64352

Now multiplying the highest exponent prime factors to calculate the LCM of 64338 and 64352.

LCM(64338,64352) = 2⁵ × 3¹ × 10723¹ × 2011¹
LCM(64338,64352) = 2070139488