What is the Least Common Multiple of 75424 and 75440?

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 75440 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 75440, than apply into the LCM equation.

GCF(75424,75440) = 16
LCM(75424,75440) = ( 75424 × 75440) / 16
LCM(75424,75440) = 5689986560 / 16
LCM(75424,75440) = 355624160

Least Common Multiple (LCM) of 75424 and 75440 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 75424 and 75440. First we will calculate the prime factors of 75424 and 75440.

Prime Factorization of 75424

Prime Factorization of 75440

Now multiplying the highest exponent prime factors to calculate the LCM of 75424 and 75440.

LCM(75424,75440) = 2⁵ × 2357¹ × 5¹ × 23¹ × 41¹
LCM(75424,75440) = 355624160