What is the Least Common Multiple of 84084 and 84088?

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 84084 and 84088 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 84084 and 84088, than apply into the LCM equation.

GCF(84084,84088) = 4
LCM(84084,84088) = ( 84084 × 84088) / 4
LCM(84084,84088) = 7070455392 / 4
LCM(84084,84088) = 1767613848

Least Common Multiple (LCM) of 84084 and 84088 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 84084 and 84088. First we will calculate the prime factors of 84084 and 84088.

Prime Factorization of 84084

Prime Factorization of 84088

Now multiplying the highest exponent prime factors to calculate the LCM of 84084 and 84088.

LCM(84084,84088) = 2³ × 3¹ × 7² × 11¹ × 13¹ × 23¹ × 457¹
LCM(84084,84088) = 1767613848