What is the Least Common Multiple of 84549 and 84555?

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 84549 and 84555 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 84549 and 84555, than apply into the LCM equation.

GCF(84549,84555) = 3
LCM(84549,84555) = ( 84549 × 84555) / 3
LCM(84549,84555) = 7149040695 / 3
LCM(84549,84555) = 2383013565

Least Common Multiple (LCM) of 84549 and 84555 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 84549 and 84555. First we will calculate the prime factors of 84549 and 84555.

Prime Factorization of 84549

Prime Factorization of 84555

Now multiplying the highest exponent prime factors to calculate the LCM of 84549 and 84555.

LCM(84549,84555) = 3² × 28183¹ × 5¹ × 1879¹
LCM(84549,84555) = 2383013565