What is the Least Common Multiple of 72992 and 72996?

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 72992 and 72996 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 72992 and 72996, than apply into the LCM equation.

GCF(72992,72996) = 4
LCM(72992,72996) = ( 72992 × 72996) / 4
LCM(72992,72996) = 5328124032 / 4
LCM(72992,72996) = 1332031008

Least Common Multiple (LCM) of 72992 and 72996 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 72992 and 72996. First we will calculate the prime factors of 72992 and 72996.

Prime Factorization of 72992

Prime Factorization of 72996

Now multiplying the highest exponent prime factors to calculate the LCM of 72992 and 72996.

LCM(72992,72996) = 2⁵ × 2281¹ × 3¹ × 7¹ × 11¹ × 79¹
LCM(72992,72996) = 1332031008