What is the Least Common Multiple of 84212 and 84216?

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 84212 and 84216 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 84212 and 84216, than apply into the LCM equation.

GCF(84212,84216) = 4
LCM(84212,84216) = ( 84212 × 84216) / 4
LCM(84212,84216) = 7091997792 / 4
LCM(84212,84216) = 1772999448

Least Common Multiple (LCM) of 84212 and 84216 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 84212 and 84216. First we will calculate the prime factors of 84212 and 84216.

Prime Factorization of 84212

Prime Factorization of 84216

Now multiplying the highest exponent prime factors to calculate the LCM of 84212 and 84216.

LCM(84212,84216) = 2³ × 37¹ × 569¹ × 3¹ × 11² × 29¹
LCM(84212,84216) = 1772999448