What is the Least Common Multiple of 76839 and 76856?

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 76839 and 76856 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 76839 and 76856, than apply into the LCM equation.

GCF(76839,76856) = 1
LCM(76839,76856) = ( 76839 × 76856) / 1
LCM(76839,76856) = 5905538184 / 1
LCM(76839,76856) = 5905538184

Least Common Multiple (LCM) of 76839 and 76856 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 76839 and 76856. First we will calculate the prime factors of 76839 and 76856.

Prime Factorization of 76839

Prime Factorization of 76856

Now multiplying the highest exponent prime factors to calculate the LCM of 76839 and 76856.

LCM(76839,76856) = 3¹ × 7¹ × 3659¹ × 2³ × 13¹ × 739¹
LCM(76839,76856) = 5905538184