What is the Least Common Multiple of 28176 and 28188?

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 28176 and 28188 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28176 and 28188, than apply into the LCM equation.

GCF(28176,28188) = 12
LCM(28176,28188) = ( 28176 × 28188) / 12
LCM(28176,28188) = 794225088 / 12
LCM(28176,28188) = 66185424

Least Common Multiple (LCM) of 28176 and 28188 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28176 and 28188. First we will calculate the prime factors of 28176 and 28188.

Prime Factorization of 28176

Prime Factorization of 28188

Now multiplying the highest exponent prime factors to calculate the LCM of 28176 and 28188.

LCM(28176,28188) = 2⁴ × 3⁵ × 587¹ × 29¹
LCM(28176,28188) = 66185424