What is the Least Common Multiple of 76848 and 76857?

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 76848 and 76857 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 76848 and 76857, than apply into the LCM equation.

GCF(76848,76857) = 3
LCM(76848,76857) = ( 76848 × 76857) / 3
LCM(76848,76857) = 5906306736 / 3
LCM(76848,76857) = 1968768912

Least Common Multiple (LCM) of 76848 and 76857 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 76848 and 76857. First we will calculate the prime factors of 76848 and 76857.

Prime Factorization of 76848

Prime Factorization of 76857

Now multiplying the highest exponent prime factors to calculate the LCM of 76848 and 76857.

LCM(76848,76857) = 2⁴ × 3¹ × 1601¹ × 11¹ × 17¹ × 137¹
LCM(76848,76857) = 1968768912