What is the Least Common Multiple of 7260 and 7275?

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 7260 and 7275 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7260 and 7275, than apply into the LCM equation.

GCF(7260,7275) = 15
LCM(7260,7275) = ( 7260 × 7275) / 15
LCM(7260,7275) = 52816500 / 15
LCM(7260,7275) = 3521100

Least Common Multiple (LCM) of 7260 and 7275 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7260 and 7275. First we will calculate the prime factors of 7260 and 7275.

Prime Factorization of 7260

Prime Factorization of 7275

Now multiplying the highest exponent prime factors to calculate the LCM of 7260 and 7275.

LCM(7260,7275) = 2² × 3¹ × 5² × 11² × 97¹
LCM(7260,7275) = 3521100