What is the Least Common Multiple of 75456 and 75474?

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 75456 and 75474 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 75456 and 75474, than apply into the LCM equation.

GCF(75456,75474) = 18
LCM(75456,75474) = ( 75456 × 75474) / 18
LCM(75456,75474) = 5694966144 / 18
LCM(75456,75474) = 316387008

Least Common Multiple (LCM) of 75456 and 75474 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 75456 and 75474. First we will calculate the prime factors of 75456 and 75474.

Prime Factorization of 75456

Prime Factorization of 75474

Now multiplying the highest exponent prime factors to calculate the LCM of 75456 and 75474.

LCM(75456,75474) = 2⁶ × 3² × 131¹ × 7¹ × 599¹
LCM(75456,75474) = 316387008