What is the Least Common Multiple of 76893 and 76908?

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 76893 and 76908 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 76893 and 76908, than apply into the LCM equation.

GCF(76893,76908) = 3
LCM(76893,76908) = ( 76893 × 76908) / 3
LCM(76893,76908) = 5913686844 / 3
LCM(76893,76908) = 1971228948

Least Common Multiple (LCM) of 76893 and 76908 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 76893 and 76908. First we will calculate the prime factors of 76893 and 76908.

Prime Factorization of 76893

Prime Factorization of 76908

Now multiplying the highest exponent prime factors to calculate the LCM of 76893 and 76908.

LCM(76893,76908) = 3¹ × 19² × 71¹ × 2² × 13¹ × 17¹ × 29¹
LCM(76893,76908) = 1971228948