What is the Least Common Multiple of 76833 and 76846?

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 76833 and 76846 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 76833 and 76846, than apply into the LCM equation.

GCF(76833,76846) = 1
LCM(76833,76846) = ( 76833 × 76846) / 1
LCM(76833,76846) = 5904308718 / 1
LCM(76833,76846) = 5904308718

Least Common Multiple (LCM) of 76833 and 76846 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 76833 and 76846. First we will calculate the prime factors of 76833 and 76846.

Prime Factorization of 76833

Prime Factorization of 76846

Now multiplying the highest exponent prime factors to calculate the LCM of 76833 and 76846.

LCM(76833,76846) = 3² × 8537¹ × 2¹ × 7¹ × 11¹ × 499¹
LCM(76833,76846) = 5904308718