What is the Least Common Multiple of 28976 and 28996?

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 28976 and 28996 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28976 and 28996, than apply into the LCM equation.

GCF(28976,28996) = 4
LCM(28976,28996) = ( 28976 × 28996) / 4
LCM(28976,28996) = 840188096 / 4
LCM(28976,28996) = 210047024

Least Common Multiple (LCM) of 28976 and 28996 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28976 and 28996. First we will calculate the prime factors of 28976 and 28996.

Prime Factorization of 28976

Prime Factorization of 28996

Now multiplying the highest exponent prime factors to calculate the LCM of 28976 and 28996.

LCM(28976,28996) = 2⁴ × 1811¹ × 11¹ × 659¹
LCM(28976,28996) = 210047024