What is the Least Common Multiple of 83238 and 83256?

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 83238 and 83256 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 83238 and 83256, than apply into the LCM equation.

GCF(83238,83256) = 6
LCM(83238,83256) = ( 83238 × 83256) / 6
LCM(83238,83256) = 6930062928 / 6
LCM(83238,83256) = 1155010488

Least Common Multiple (LCM) of 83238 and 83256 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 83238 and 83256. First we will calculate the prime factors of 83238 and 83256.

Prime Factorization of 83238

Prime Factorization of 83256

Now multiplying the highest exponent prime factors to calculate the LCM of 83238 and 83256.

LCM(83238,83256) = 2³ × 3¹ × 13873¹ × 3469¹
LCM(83238,83256) = 1155010488