What is the Least Common Multiple of 34839 and 34859?

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 34859 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 34859, than apply into the LCM equation.

GCF(34839,34859) = 1
LCM(34839,34859) = ( 34839 × 34859) / 1
LCM(34839,34859) = 1214452701 / 1
LCM(34839,34859) = 1214452701

Least Common Multiple (LCM) of 34839 and 34859 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 34839 and 34859. First we will calculate the prime factors of 34839 and 34859.

Prime Factorization of 34839

Prime Factorization of 34859

Now multiplying the highest exponent prime factors to calculate the LCM of 34839 and 34859.

LCM(34839,34859) = 3² × 7² × 79¹ × 11¹ × 3169¹
LCM(34839,34859) = 1214452701