What is the Least Common Multiple of 75942 and 75952?

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 75942 and 75952 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 75942 and 75952, than apply into the LCM equation.

GCF(75942,75952) = 2
LCM(75942,75952) = ( 75942 × 75952) / 2
LCM(75942,75952) = 5767946784 / 2
LCM(75942,75952) = 2883973392

Least Common Multiple (LCM) of 75942 and 75952 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 75942 and 75952. First we will calculate the prime factors of 75942 and 75952.

Prime Factorization of 75942

Prime Factorization of 75952

Now multiplying the highest exponent prime factors to calculate the LCM of 75942 and 75952.

LCM(75942,75952) = 2⁴ × 3² × 4219¹ × 47¹ × 101¹
LCM(75942,75952) = 2883973392