What is the Least Common Multiple of 73275 and 73288?

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 73275 and 73288 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 73275 and 73288, than apply into the LCM equation.

GCF(73275,73288) = 1
LCM(73275,73288) = ( 73275 × 73288) / 1
LCM(73275,73288) = 5370178200 / 1
LCM(73275,73288) = 5370178200

Least Common Multiple (LCM) of 73275 and 73288 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 73275 and 73288. First we will calculate the prime factors of 73275 and 73288.

Prime Factorization of 73275

Prime Factorization of 73288

Now multiplying the highest exponent prime factors to calculate the LCM of 73275 and 73288.

LCM(73275,73288) = 3¹ × 5² × 977¹ × 2³ × 9161¹
LCM(73275,73288) = 5370178200