What is the Least Common Multiple of 82272 and 82284?

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 82272 and 82284 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 82272 and 82284, than apply into the LCM equation.

GCF(82272,82284) = 12
LCM(82272,82284) = ( 82272 × 82284) / 12
LCM(82272,82284) = 6769669248 / 12
LCM(82272,82284) = 564139104

Least Common Multiple (LCM) of 82272 and 82284 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 82272 and 82284. First we will calculate the prime factors of 82272 and 82284.

Prime Factorization of 82272

Prime Factorization of 82284

Now multiplying the highest exponent prime factors to calculate the LCM of 82272 and 82284.

LCM(82272,82284) = 2⁵ × 3¹ × 857¹ × 6857¹
LCM(82272,82284) = 564139104