What is the Least Common Multiple of 52893 and 52911?

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 52893 and 52911 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 52893 and 52911, than apply into the LCM equation.

GCF(52893,52911) = 9
LCM(52893,52911) = ( 52893 × 52911) / 9
LCM(52893,52911) = 2798621523 / 9
LCM(52893,52911) = 310957947

Least Common Multiple (LCM) of 52893 and 52911 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 52893 and 52911. First we will calculate the prime factors of 52893 and 52911.

Prime Factorization of 52893

Prime Factorization of 52911

Now multiplying the highest exponent prime factors to calculate the LCM of 52893 and 52911.

LCM(52893,52911) = 3⁴ × 653¹ × 5879¹
LCM(52893,52911) = 310957947