What is the Least Common Multiple of 32320 and 32334?

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 32320 and 32334 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 32320 and 32334, than apply into the LCM equation.

GCF(32320,32334) = 2
LCM(32320,32334) = ( 32320 × 32334) / 2
LCM(32320,32334) = 1045034880 / 2
LCM(32320,32334) = 522517440

Least Common Multiple (LCM) of 32320 and 32334 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 32320 and 32334. First we will calculate the prime factors of 32320 and 32334.

Prime Factorization of 32320

Prime Factorization of 32334

Now multiplying the highest exponent prime factors to calculate the LCM of 32320 and 32334.

LCM(32320,32334) = 2⁶ × 5¹ × 101¹ × 3¹ × 17¹ × 317¹
LCM(32320,32334) = 522517440