What is the Least Common Multiple of 75936 and 75948?

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 75936 and 75948 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 75936 and 75948, than apply into the LCM equation.

GCF(75936,75948) = 12
LCM(75936,75948) = ( 75936 × 75948) / 12
LCM(75936,75948) = 5767187328 / 12
LCM(75936,75948) = 480598944

Least Common Multiple (LCM) of 75936 and 75948 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 75936 and 75948. First we will calculate the prime factors of 75936 and 75948.

Prime Factorization of 75936

Prime Factorization of 75948

Now multiplying the highest exponent prime factors to calculate the LCM of 75936 and 75948.

LCM(75936,75948) = 2⁵ × 3¹ × 7¹ × 113¹ × 6329¹
LCM(75936,75948) = 480598944