What is the Least Common Multiple of 7356 and 7375?

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 7356 and 7375 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7356 and 7375, than apply into the LCM equation.

GCF(7356,7375) = 1
LCM(7356,7375) = ( 7356 × 7375) / 1
LCM(7356,7375) = 54250500 / 1
LCM(7356,7375) = 54250500

Least Common Multiple (LCM) of 7356 and 7375 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7356 and 7375. First we will calculate the prime factors of 7356 and 7375.

Prime Factorization of 7356

Prime Factorization of 7375

Now multiplying the highest exponent prime factors to calculate the LCM of 7356 and 7375.

LCM(7356,7375) = 2² × 3¹ × 613¹ × 5³ × 59¹
LCM(7356,7375) = 54250500