What is the Least Common Multiple of 84966 and 84979?

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 84966 and 84979 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 84966 and 84979, than apply into the LCM equation.

GCF(84966,84979) = 1
LCM(84966,84979) = ( 84966 × 84979) / 1
LCM(84966,84979) = 7220325714 / 1
LCM(84966,84979) = 7220325714

Least Common Multiple (LCM) of 84966 and 84979 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 84966 and 84979. First we will calculate the prime factors of 84966 and 84979.

Prime Factorization of 84966

Prime Factorization of 84979

Now multiplying the highest exponent prime factors to calculate the LCM of 84966 and 84979.

LCM(84966,84979) = 2¹ × 3¹ × 7² × 17² × 84979¹
LCM(84966,84979) = 7220325714