What is the Least Common Multiple of 79971 and 79983?

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 79971 and 79983 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 79971 and 79983, than apply into the LCM equation.

GCF(79971,79983) = 3
LCM(79971,79983) = ( 79971 × 79983) / 3
LCM(79971,79983) = 6396320493 / 3
LCM(79971,79983) = 2132106831

Least Common Multiple (LCM) of 79971 and 79983 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 79971 and 79983. First we will calculate the prime factors of 79971 and 79983.

Prime Factorization of 79971

Prime Factorization of 79983

Now multiplying the highest exponent prime factors to calculate the LCM of 79971 and 79983.

LCM(79971,79983) = 3² × 19¹ × 23¹ × 61¹ × 8887¹
LCM(79971,79983) = 2132106831