What is the Least Common Multiple of 84216 and 84225?

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 84216 and 84225 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 84216 and 84225, than apply into the LCM equation.

GCF(84216,84225) = 3
LCM(84216,84225) = ( 84216 × 84225) / 3
LCM(84216,84225) = 7093092600 / 3
LCM(84216,84225) = 2364364200

Least Common Multiple (LCM) of 84216 and 84225 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 84216 and 84225. First we will calculate the prime factors of 84216 and 84225.

Prime Factorization of 84216

Prime Factorization of 84225

Now multiplying the highest exponent prime factors to calculate the LCM of 84216 and 84225.

LCM(84216,84225) = 2³ × 3¹ × 11² × 29¹ × 5² × 1123¹
LCM(84216,84225) = 2364364200