What is the Least Common Multiple of 79965 and 79971?

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 79965 and 79971 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 79965 and 79971, than apply into the LCM equation.

GCF(79965,79971) = 3
LCM(79965,79971) = ( 79965 × 79971) / 3
LCM(79965,79971) = 6394881015 / 3
LCM(79965,79971) = 2131627005

Least Common Multiple (LCM) of 79965 and 79971 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 79965 and 79971. First we will calculate the prime factors of 79965 and 79971.

Prime Factorization of 79965

Prime Factorization of 79971

Now multiplying the highest exponent prime factors to calculate the LCM of 79965 and 79971.

LCM(79965,79971) = 3² × 5¹ × 1777¹ × 19¹ × 23¹ × 61¹
LCM(79965,79971) = 2131627005