What is the Least Common Multiple of 34839 and 34846?

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 34839 and 34846 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 34839 and 34846, than apply into the LCM equation.

GCF(34839,34846) = 7
LCM(34839,34846) = ( 34839 × 34846) / 7
LCM(34839,34846) = 1213999794 / 7
LCM(34839,34846) = 173428542

Least Common Multiple (LCM) of 34839 and 34846 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 34839 and 34846. First we will calculate the prime factors of 34839 and 34846.

Prime Factorization of 34839

Prime Factorization of 34846

Now multiplying the highest exponent prime factors to calculate the LCM of 34839 and 34846.

LCM(34839,34846) = 3² × 7² × 79¹ × 2¹ × 19¹ × 131¹
LCM(34839,34846) = 173428542