What is the Least Common Multiple of 4839 and 4859?

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 4839 and 4859 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4839 and 4859, than apply into the LCM equation.

GCF(4839,4859) = 1
LCM(4839,4859) = ( 4839 × 4859) / 1
LCM(4839,4859) = 23512701 / 1
LCM(4839,4859) = 23512701

Least Common Multiple (LCM) of 4839 and 4859 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4839 and 4859. First we will calculate the prime factors of 4839 and 4859.

Prime Factorization of 4839

Prime Factorization of 4859

Now multiplying the highest exponent prime factors to calculate the LCM of 4839 and 4859.

LCM(4839,4859) = 3¹ × 1613¹ × 43¹ × 113¹
LCM(4839,4859) = 23512701