What is the Least Common Multiple of 7275 and 7284?

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 7275 and 7284 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7275 and 7284, than apply into the LCM equation.

GCF(7275,7284) = 3
LCM(7275,7284) = ( 7275 × 7284) / 3
LCM(7275,7284) = 52991100 / 3
LCM(7275,7284) = 17663700

Least Common Multiple (LCM) of 7275 and 7284 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7275 and 7284. First we will calculate the prime factors of 7275 and 7284.

Prime Factorization of 7275

Prime Factorization of 7284

Now multiplying the highest exponent prime factors to calculate the LCM of 7275 and 7284.

LCM(7275,7284) = 3¹ × 5² × 97¹ × 2² × 607¹
LCM(7275,7284) = 17663700