What is the Least Common Multiple of 75450 and 75456?

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 75450 and 75456 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 75450 and 75456, than apply into the LCM equation.

GCF(75450,75456) = 6
LCM(75450,75456) = ( 75450 × 75456) / 6
LCM(75450,75456) = 5693155200 / 6
LCM(75450,75456) = 948859200

Least Common Multiple (LCM) of 75450 and 75456 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 75450 and 75456. First we will calculate the prime factors of 75450 and 75456.

Prime Factorization of 75450

Prime Factorization of 75456

Now multiplying the highest exponent prime factors to calculate the LCM of 75450 and 75456.

LCM(75450,75456) = 2⁶ × 3² × 5² × 503¹ × 131¹
LCM(75450,75456) = 948859200