What is the Least Common Multiple of 28911 and 28929?

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 28911 and 28929 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28911 and 28929, than apply into the LCM equation.

GCF(28911,28929) = 3
LCM(28911,28929) = ( 28911 × 28929) / 3
LCM(28911,28929) = 836366319 / 3
LCM(28911,28929) = 278788773

Least Common Multiple (LCM) of 28911 and 28929 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28911 and 28929. First we will calculate the prime factors of 28911 and 28929.

Prime Factorization of 28911

Prime Factorization of 28929

Now multiplying the highest exponent prime factors to calculate the LCM of 28911 and 28929.

LCM(28911,28929) = 3¹ × 23¹ × 419¹ × 9643¹
LCM(28911,28929) = 278788773