What is the Least Common Multiple of 72946 and 72952?

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 72946 and 72952 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 72946 and 72952, than apply into the LCM equation.

GCF(72946,72952) = 2
LCM(72946,72952) = ( 72946 × 72952) / 2
LCM(72946,72952) = 5321556592 / 2
LCM(72946,72952) = 2660778296

Least Common Multiple (LCM) of 72946 and 72952 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 72946 and 72952. First we will calculate the prime factors of 72946 and 72952.

Prime Factorization of 72946

Prime Factorization of 72952

Now multiplying the highest exponent prime factors to calculate the LCM of 72946 and 72952.

LCM(72946,72952) = 2³ × 36473¹ × 11¹ × 829¹
LCM(72946,72952) = 2660778296