What is the Least Common Multiple of 73251 and 73256?

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 73251 and 73256 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 73251 and 73256, than apply into the LCM equation.

GCF(73251,73256) = 1
LCM(73251,73256) = ( 73251 × 73256) / 1
LCM(73251,73256) = 5366075256 / 1
LCM(73251,73256) = 5366075256

Least Common Multiple (LCM) of 73251 and 73256 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 73251 and 73256. First we will calculate the prime factors of 73251 and 73256.

Prime Factorization of 73251

Prime Factorization of 73256

Now multiplying the highest exponent prime factors to calculate the LCM of 73251 and 73256.

LCM(73251,73256) = 3³ × 2713¹ × 2³ × 9157¹
LCM(73251,73256) = 5366075256