What is the Least Common Multiple of 39448 and 39464?

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 39448 and 39464 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 39448 and 39464, than apply into the LCM equation.

GCF(39448,39464) = 8
LCM(39448,39464) = ( 39448 × 39464) / 8
LCM(39448,39464) = 1556775872 / 8
LCM(39448,39464) = 194596984

Least Common Multiple (LCM) of 39448 and 39464 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 39448 and 39464. First we will calculate the prime factors of 39448 and 39464.

Prime Factorization of 39448

Prime Factorization of 39464

Now multiplying the highest exponent prime factors to calculate the LCM of 39448 and 39464.

LCM(39448,39464) = 2³ × 4931¹ × 4933¹
LCM(39448,39464) = 194596984