What is the Least Common Multiple of 84570 and 84584?

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 84570 and 84584 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 84570 and 84584, than apply into the LCM equation.

GCF(84570,84584) = 2
LCM(84570,84584) = ( 84570 × 84584) / 2
LCM(84570,84584) = 7153268880 / 2
LCM(84570,84584) = 3576634440

Least Common Multiple (LCM) of 84570 and 84584 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 84570 and 84584. First we will calculate the prime factors of 84570 and 84584.

Prime Factorization of 84570

Prime Factorization of 84584

Now multiplying the highest exponent prime factors to calculate the LCM of 84570 and 84584.

LCM(84570,84584) = 2³ × 3¹ × 5¹ × 2819¹ × 97¹ × 109¹
LCM(84570,84584) = 3576634440