What is the Least Common Multiple of 32352 and 32370?

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 32352 and 32370 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 32352 and 32370, than apply into the LCM equation.

GCF(32352,32370) = 6
LCM(32352,32370) = ( 32352 × 32370) / 6
LCM(32352,32370) = 1047234240 / 6
LCM(32352,32370) = 174539040

Least Common Multiple (LCM) of 32352 and 32370 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 32352 and 32370. First we will calculate the prime factors of 32352 and 32370.

Prime Factorization of 32352

Prime Factorization of 32370

Now multiplying the highest exponent prime factors to calculate the LCM of 32352 and 32370.

LCM(32352,32370) = 2⁵ × 3¹ × 337¹ × 5¹ × 13¹ × 83¹
LCM(32352,32370) = 174539040