What is the Least Common Multiple of 84960 and 84966?

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 84960 and 84966 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 84960 and 84966, than apply into the LCM equation.

GCF(84960,84966) = 6
LCM(84960,84966) = ( 84960 × 84966) / 6
LCM(84960,84966) = 7218711360 / 6
LCM(84960,84966) = 1203118560

Least Common Multiple (LCM) of 84960 and 84966 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 84960 and 84966. First we will calculate the prime factors of 84960 and 84966.

Prime Factorization of 84960

Prime Factorization of 84966

Now multiplying the highest exponent prime factors to calculate the LCM of 84960 and 84966.

LCM(84960,84966) = 2⁵ × 3² × 5¹ × 59¹ × 7² × 17²
LCM(84960,84966) = 1203118560