What is the Least Common Multiple of 28192 and 28198?

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 28198 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 28198, than apply into the LCM equation.

GCF(28192,28198) = 2
LCM(28192,28198) = ( 28192 × 28198) / 2
LCM(28192,28198) = 794958016 / 2
LCM(28192,28198) = 397479008

Least Common Multiple (LCM) of 28192 and 28198 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28192 and 28198. First we will calculate the prime factors of 28192 and 28198.

Prime Factorization of 28192

Prime Factorization of 28198

Now multiplying the highest exponent prime factors to calculate the LCM of 28192 and 28198.

LCM(28192,28198) = 2⁵ × 881¹ × 23¹ × 613¹
LCM(28192,28198) = 397479008