What is the Least Common Multiple of 83250 and 83268?

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 83250 and 83268 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 83250 and 83268, than apply into the LCM equation.

GCF(83250,83268) = 18
LCM(83250,83268) = ( 83250 × 83268) / 18
LCM(83250,83268) = 6932061000 / 18
LCM(83250,83268) = 385114500

Least Common Multiple (LCM) of 83250 and 83268 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 83250 and 83268. First we will calculate the prime factors of 83250 and 83268.

Prime Factorization of 83250

Prime Factorization of 83268

Now multiplying the highest exponent prime factors to calculate the LCM of 83250 and 83268.

LCM(83250,83268) = 2² × 3⁴ × 5³ × 37¹ × 257¹
LCM(83250,83268) = 385114500