What is the Least Common Multiple of 76893 and 76911?

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 76911 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 76911, than apply into the LCM equation.

GCF(76893,76911) = 3
LCM(76893,76911) = ( 76893 × 76911) / 3
LCM(76893,76911) = 5913917523 / 3
LCM(76893,76911) = 1971305841

Least Common Multiple (LCM) of 76893 and 76911 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 76893 and 76911. First we will calculate the prime factors of 76893 and 76911.

Prime Factorization of 76893

Prime Factorization of 76911

Now multiplying the highest exponent prime factors to calculate the LCM of 76893 and 76911.

LCM(76893,76911) = 3¹ × 19² × 71¹ × 31¹ × 827¹
LCM(76893,76911) = 1971305841