What is the Least Common Multiple of 84660 and 84664?

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 84660 and 84664 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 84660 and 84664, than apply into the LCM equation.

GCF(84660,84664) = 4
LCM(84660,84664) = ( 84660 × 84664) / 4
LCM(84660,84664) = 7167654240 / 4
LCM(84660,84664) = 1791913560

Least Common Multiple (LCM) of 84660 and 84664 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 84660 and 84664. First we will calculate the prime factors of 84660 and 84664.

Prime Factorization of 84660

Prime Factorization of 84664

Now multiplying the highest exponent prime factors to calculate the LCM of 84660 and 84664.

LCM(84660,84664) = 2³ × 3¹ × 5¹ × 17¹ × 83¹ × 19¹ × 557¹
LCM(84660,84664) = 1791913560