What is the Least Common Multiple of 34825 and 34839?

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 34825 and 34839 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 34825 and 34839, than apply into the LCM equation.

GCF(34825,34839) = 7
LCM(34825,34839) = ( 34825 × 34839) / 7
LCM(34825,34839) = 1213268175 / 7
LCM(34825,34839) = 173324025

Least Common Multiple (LCM) of 34825 and 34839 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 34825 and 34839. First we will calculate the prime factors of 34825 and 34839.

Prime Factorization of 34825

Prime Factorization of 34839

Now multiplying the highest exponent prime factors to calculate the LCM of 34825 and 34839.

LCM(34825,34839) = 5² × 7² × 199¹ × 3² × 79¹
LCM(34825,34839) = 173324025