What is the Least Common Multiple of 83232 and 83250?

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 83232 and 83250 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 83232 and 83250, than apply into the LCM equation.

GCF(83232,83250) = 18
LCM(83232,83250) = ( 83232 × 83250) / 18
LCM(83232,83250) = 6929064000 / 18
LCM(83232,83250) = 384948000

Least Common Multiple (LCM) of 83232 and 83250 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 83232 and 83250. First we will calculate the prime factors of 83232 and 83250.

Prime Factorization of 83232

Prime Factorization of 83250

Now multiplying the highest exponent prime factors to calculate the LCM of 83232 and 83250.

LCM(83232,83250) = 2⁵ × 3² × 17² × 5³ × 37¹
LCM(83232,83250) = 384948000