What is the Least Common Multiple of 83256 and 83273?

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 83256 and 83273 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 83256 and 83273, than apply into the LCM equation.

GCF(83256,83273) = 1
LCM(83256,83273) = ( 83256 × 83273) / 1
LCM(83256,83273) = 6932976888 / 1
LCM(83256,83273) = 6932976888

Least Common Multiple (LCM) of 83256 and 83273 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 83256 and 83273. First we will calculate the prime factors of 83256 and 83273.

Prime Factorization of 83256

Prime Factorization of 83273

Now multiplying the highest exponent prime factors to calculate the LCM of 83256 and 83273.

LCM(83256,83273) = 2³ × 3¹ × 3469¹ × 83273¹
LCM(83256,83273) = 6932976888