What is the Least Common Multiple of 84555 and 84570?

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 84555 and 84570 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 84555 and 84570, than apply into the LCM equation.

GCF(84555,84570) = 15
LCM(84555,84570) = ( 84555 × 84570) / 15
LCM(84555,84570) = 7150816350 / 15
LCM(84555,84570) = 476721090

Least Common Multiple (LCM) of 84555 and 84570 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 84555 and 84570. First we will calculate the prime factors of 84555 and 84570.

Prime Factorization of 84555

Prime Factorization of 84570

Now multiplying the highest exponent prime factors to calculate the LCM of 84555 and 84570.

LCM(84555,84570) = 3² × 5¹ × 1879¹ × 2¹ × 2819¹
LCM(84555,84570) = 476721090