What is the Least Common Multiple of 17658 and 17676?

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 17658 and 17676 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17658 and 17676, than apply into the LCM equation.

GCF(17658,17676) = 18
LCM(17658,17676) = ( 17658 × 17676) / 18
LCM(17658,17676) = 312122808 / 18
LCM(17658,17676) = 17340156

Least Common Multiple (LCM) of 17658 and 17676 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 17658 and 17676. First we will calculate the prime factors of 17658 and 17676.

Prime Factorization of 17658

Prime Factorization of 17676

Now multiplying the highest exponent prime factors to calculate the LCM of 17658 and 17676.

LCM(17658,17676) = 2² × 3⁴ × 109¹ × 491¹
LCM(17658,17676) = 17340156