What is the Least Common Multiple of 28164 and 28182?

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 28164 and 28182 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28164 and 28182, than apply into the LCM equation.

GCF(28164,28182) = 6
LCM(28164,28182) = ( 28164 × 28182) / 6
LCM(28164,28182) = 793717848 / 6
LCM(28164,28182) = 132286308

Least Common Multiple (LCM) of 28164 and 28182 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28164 and 28182. First we will calculate the prime factors of 28164 and 28182.

Prime Factorization of 28164

Prime Factorization of 28182

Now multiplying the highest exponent prime factors to calculate the LCM of 28164 and 28182.

LCM(28164,28182) = 2² × 3¹ × 2347¹ × 7¹ × 11¹ × 61¹
LCM(28164,28182) = 132286308