What is the Least Common Multiple of 73256 and 73275?

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 73256 and 73275 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 73256 and 73275, than apply into the LCM equation.

GCF(73256,73275) = 1
LCM(73256,73275) = ( 73256 × 73275) / 1
LCM(73256,73275) = 5367833400 / 1
LCM(73256,73275) = 5367833400

Least Common Multiple (LCM) of 73256 and 73275 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 73256 and 73275. First we will calculate the prime factors of 73256 and 73275.

Prime Factorization of 73256

Prime Factorization of 73275

Now multiplying the highest exponent prime factors to calculate the LCM of 73256 and 73275.

LCM(73256,73275) = 2³ × 9157¹ × 3¹ × 5² × 977¹
LCM(73256,73275) = 5367833400