What is the Least Common Multiple of 75923 and 75936?

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 75923 and 75936 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 75923 and 75936, than apply into the LCM equation.

GCF(75923,75936) = 1
LCM(75923,75936) = ( 75923 × 75936) / 1
LCM(75923,75936) = 5765288928 / 1
LCM(75923,75936) = 5765288928

Least Common Multiple (LCM) of 75923 and 75936 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 75923 and 75936. First we will calculate the prime factors of 75923 and 75936.

Prime Factorization of 75923

Prime Factorization of 75936

Now multiplying the highest exponent prime factors to calculate the LCM of 75923 and 75936.

LCM(75923,75936) = 23¹ × 3301¹ × 2⁵ × 3¹ × 7¹ × 113¹
LCM(75923,75936) = 5765288928