What is the Least Common Multiple of 76839 and 76859?

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 76859 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 76859, than apply into the LCM equation.

GCF(76839,76859) = 1
LCM(76839,76859) = ( 76839 × 76859) / 1
LCM(76839,76859) = 5905768701 / 1
LCM(76839,76859) = 5905768701

Least Common Multiple (LCM) of 76839 and 76859 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 76839 and 76859. First we will calculate the prime factors of 76839 and 76859.

Prime Factorization of 76839

Prime Factorization of 76859

Now multiplying the highest exponent prime factors to calculate the LCM of 76839 and 76859.

LCM(76839,76859) = 3¹ × 7¹ × 3659¹ × 151¹ × 509¹
LCM(76839,76859) = 5905768701