What is the Least Common Multiple of 84912 and 84924?

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 84912 and 84924 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 84912 and 84924, than apply into the LCM equation.

GCF(84912,84924) = 12
LCM(84912,84924) = ( 84912 × 84924) / 12
LCM(84912,84924) = 7211066688 / 12
LCM(84912,84924) = 600922224

Least Common Multiple (LCM) of 84912 and 84924 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 84912 and 84924. First we will calculate the prime factors of 84912 and 84924.

Prime Factorization of 84912

Prime Factorization of 84924

Now multiplying the highest exponent prime factors to calculate the LCM of 84912 and 84924.

LCM(84912,84924) = 2⁴ × 3² × 29¹ × 61¹ × 7¹ × 337¹
LCM(84912,84924) = 600922224