What is the Least Common Multiple of 7575 and 7590?

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 7575 and 7590 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7575 and 7590, than apply into the LCM equation.

GCF(7575,7590) = 15
LCM(7575,7590) = ( 7575 × 7590) / 15
LCM(7575,7590) = 57494250 / 15
LCM(7575,7590) = 3832950

Least Common Multiple (LCM) of 7575 and 7590 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7575 and 7590. First we will calculate the prime factors of 7575 and 7590.

Prime Factorization of 7575

Prime Factorization of 7590

Now multiplying the highest exponent prime factors to calculate the LCM of 7575 and 7590.

LCM(7575,7590) = 3¹ × 5² × 101¹ × 2¹ × 11¹ × 23¹
LCM(7575,7590) = 3832950