What is the Least Common Multiple of 7971 and 7978?

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 7971 and 7978 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7971 and 7978, than apply into the LCM equation.

GCF(7971,7978) = 1
LCM(7971,7978) = ( 7971 × 7978) / 1
LCM(7971,7978) = 63592638 / 1
LCM(7971,7978) = 63592638

Least Common Multiple (LCM) of 7971 and 7978 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7971 and 7978. First we will calculate the prime factors of 7971 and 7978.

Prime Factorization of 7971

Prime Factorization of 7978

Now multiplying the highest exponent prime factors to calculate the LCM of 7971 and 7978.

LCM(7971,7978) = 3¹ × 2657¹ × 2¹ × 3989¹
LCM(7971,7978) = 63592638