What is the Least Common Multiple of 84900 and 84912?

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 84900 and 84912 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 84900 and 84912, than apply into the LCM equation.

GCF(84900,84912) = 12
LCM(84900,84912) = ( 84900 × 84912) / 12
LCM(84900,84912) = 7209028800 / 12
LCM(84900,84912) = 600752400

Least Common Multiple (LCM) of 84900 and 84912 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 84900 and 84912. First we will calculate the prime factors of 84900 and 84912.

Prime Factorization of 84900

Prime Factorization of 84912

Now multiplying the highest exponent prime factors to calculate the LCM of 84900 and 84912.

LCM(84900,84912) = 2⁴ × 3¹ × 5² × 283¹ × 29¹ × 61¹
LCM(84900,84912) = 600752400