What is the Least Common Multiple of 75234 and 75240?

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 75234 and 75240 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 75234 and 75240, than apply into the LCM equation.

GCF(75234,75240) = 6
LCM(75234,75240) = ( 75234 × 75240) / 6
LCM(75234,75240) = 5660606160 / 6
LCM(75234,75240) = 943434360

Least Common Multiple (LCM) of 75234 and 75240 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 75234 and 75240. First we will calculate the prime factors of 75234 and 75240.

Prime Factorization of 75234

Prime Factorization of 75240

Now multiplying the highest exponent prime factors to calculate the LCM of 75234 and 75240.

LCM(75234,75240) = 2³ × 3² × 12539¹ × 5¹ × 11¹ × 19¹
LCM(75234,75240) = 943434360