What is the Least Common Multiple of 75906 and 75924?

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 75906 and 75924 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 75906 and 75924, than apply into the LCM equation.

GCF(75906,75924) = 18
LCM(75906,75924) = ( 75906 × 75924) / 18
LCM(75906,75924) = 5763087144 / 18
LCM(75906,75924) = 320171508

Least Common Multiple (LCM) of 75906 and 75924 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 75906 and 75924. First we will calculate the prime factors of 75906 and 75924.

Prime Factorization of 75906

Prime Factorization of 75924

Now multiplying the highest exponent prime factors to calculate the LCM of 75906 and 75924.

LCM(75906,75924) = 2² × 3³ × 4217¹ × 19¹ × 37¹
LCM(75906,75924) = 320171508