What is the Least Common Multiple of 32340 and 32358?

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 32340 and 32358 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 32340 and 32358, than apply into the LCM equation.

GCF(32340,32358) = 6
LCM(32340,32358) = ( 32340 × 32358) / 6
LCM(32340,32358) = 1046457720 / 6
LCM(32340,32358) = 174409620

Least Common Multiple (LCM) of 32340 and 32358 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 32340 and 32358. First we will calculate the prime factors of 32340 and 32358.

Prime Factorization of 32340

Prime Factorization of 32358

Now multiplying the highest exponent prime factors to calculate the LCM of 32340 and 32358.

LCM(32340,32358) = 2² × 3¹ × 5¹ × 7² × 11¹ × 5393¹
LCM(32340,32358) = 174409620