What is the Least Common Multiple of 39232 and 39250?

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 39232 and 39250 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 39232 and 39250, than apply into the LCM equation.

GCF(39232,39250) = 2
LCM(39232,39250) = ( 39232 × 39250) / 2
LCM(39232,39250) = 1539856000 / 2
LCM(39232,39250) = 769928000

Least Common Multiple (LCM) of 39232 and 39250 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 39232 and 39250. First we will calculate the prime factors of 39232 and 39250.

Prime Factorization of 39232

Prime Factorization of 39250

Now multiplying the highest exponent prime factors to calculate the LCM of 39232 and 39250.

LCM(39232,39250) = 2⁶ × 613¹ × 5³ × 157¹
LCM(39232,39250) = 769928000