What is the Least Common Multiple of 75424 and 75432?

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 75424 and 75432 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 75424 and 75432, than apply into the LCM equation.

GCF(75424,75432) = 8
LCM(75424,75432) = ( 75424 × 75432) / 8
LCM(75424,75432) = 5689383168 / 8
LCM(75424,75432) = 711172896

Least Common Multiple (LCM) of 75424 and 75432 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 75424 and 75432. First we will calculate the prime factors of 75424 and 75432.

Prime Factorization of 75424

Prime Factorization of 75432

Now multiplying the highest exponent prime factors to calculate the LCM of 75424 and 75432.

LCM(75424,75432) = 2⁵ × 2357¹ × 3¹ × 7¹ × 449¹
LCM(75424,75432) = 711172896