What is the Least Common Multiple of 34882 and 34898?

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 34882 and 34898 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 34882 and 34898, than apply into the LCM equation.

GCF(34882,34898) = 2
LCM(34882,34898) = ( 34882 × 34898) / 2
LCM(34882,34898) = 1217312036 / 2
LCM(34882,34898) = 608656018

Least Common Multiple (LCM) of 34882 and 34898 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 34882 and 34898. First we will calculate the prime factors of 34882 and 34898.

Prime Factorization of 34882

Prime Factorization of 34898

Now multiplying the highest exponent prime factors to calculate the LCM of 34882 and 34898.

LCM(34882,34898) = 2¹ × 107¹ × 163¹ × 17449¹
LCM(34882,34898) = 608656018