What is the Least Common Multiple of 52911 and 52929?

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 52911 and 52929 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 52911 and 52929, than apply into the LCM equation.

GCF(52911,52929) = 9
LCM(52911,52929) = ( 52911 × 52929) / 9
LCM(52911,52929) = 2800526319 / 9
LCM(52911,52929) = 311169591

Least Common Multiple (LCM) of 52911 and 52929 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 52911 and 52929. First we will calculate the prime factors of 52911 and 52929.

Prime Factorization of 52911

Prime Factorization of 52929

Now multiplying the highest exponent prime factors to calculate the LCM of 52911 and 52929.

LCM(52911,52929) = 3² × 5879¹ × 5881¹
LCM(52911,52929) = 311169591