What is the Least Common Multiple of 75315 and 75324?

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 75315 and 75324 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 75315 and 75324, than apply into the LCM equation.

GCF(75315,75324) = 3
LCM(75315,75324) = ( 75315 × 75324) / 3
LCM(75315,75324) = 5673027060 / 3
LCM(75315,75324) = 1891009020

Least Common Multiple (LCM) of 75315 and 75324 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 75315 and 75324. First we will calculate the prime factors of 75315 and 75324.

Prime Factorization of 75315

Prime Factorization of 75324

Now multiplying the highest exponent prime factors to calculate the LCM of 75315 and 75324.

LCM(75315,75324) = 3¹ × 5¹ × 5021¹ × 2² × 6277¹
LCM(75315,75324) = 1891009020