What is the Least Common Multiple of 34839 and 34848?

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 34848 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 34848, than apply into the LCM equation.

GCF(34839,34848) = 9
LCM(34839,34848) = ( 34839 × 34848) / 9
LCM(34839,34848) = 1214069472 / 9
LCM(34839,34848) = 134896608

Least Common Multiple (LCM) of 34839 and 34848 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 34839 and 34848. First we will calculate the prime factors of 34839 and 34848.

Prime Factorization of 34839

Prime Factorization of 34848

Now multiplying the highest exponent prime factors to calculate the LCM of 34839 and 34848.

LCM(34839,34848) = 3² × 7² × 79¹ × 2⁵ × 11²
LCM(34839,34848) = 134896608