What is the Least Common Multiple of 28144 and 28164?

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 28144 and 28164 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28144 and 28164, than apply into the LCM equation.

GCF(28144,28164) = 4
LCM(28144,28164) = ( 28144 × 28164) / 4
LCM(28144,28164) = 792647616 / 4
LCM(28144,28164) = 198161904

Least Common Multiple (LCM) of 28144 and 28164 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28144 and 28164. First we will calculate the prime factors of 28144 and 28164.

Prime Factorization of 28144

Prime Factorization of 28164

Now multiplying the highest exponent prime factors to calculate the LCM of 28144 and 28164.

LCM(28144,28164) = 2⁴ × 1759¹ × 3¹ × 2347¹
LCM(28144,28164) = 198161904