What is the Least Common Multiple of 28192 and 28196?

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 28192 and 28196 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28192 and 28196, than apply into the LCM equation.

GCF(28192,28196) = 4
LCM(28192,28196) = ( 28192 × 28196) / 4
LCM(28192,28196) = 794901632 / 4
LCM(28192,28196) = 198725408

Least Common Multiple (LCM) of 28192 and 28196 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28192 and 28196. First we will calculate the prime factors of 28192 and 28196.

Prime Factorization of 28192

Prime Factorization of 28196

Now multiplying the highest exponent prime factors to calculate the LCM of 28192 and 28196.

LCM(28192,28196) = 2⁵ × 881¹ × 7¹ × 19¹ × 53¹
LCM(28192,28196) = 198725408