What is the Least Common Multiple of 75407 and 75424?

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 75407 and 75424 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 75407 and 75424, than apply into the LCM equation.

GCF(75407,75424) = 1
LCM(75407,75424) = ( 75407 × 75424) / 1
LCM(75407,75424) = 5687497568 / 1
LCM(75407,75424) = 5687497568

Least Common Multiple (LCM) of 75407 and 75424 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 75407 and 75424. First we will calculate the prime factors of 75407 and 75424.

Prime Factorization of 75407

Prime Factorization of 75424

Now multiplying the highest exponent prime factors to calculate the LCM of 75407 and 75424.

LCM(75407,75424) = 75407¹ × 2⁵ × 2357¹
LCM(75407,75424) = 5687497568