What is the Least Common Multiple of 32904 and 32912?

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 32904 and 32912 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 32904 and 32912, than apply into the LCM equation.

GCF(32904,32912) = 8
LCM(32904,32912) = ( 32904 × 32912) / 8
LCM(32904,32912) = 1082936448 / 8
LCM(32904,32912) = 135367056

Least Common Multiple (LCM) of 32904 and 32912 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 32904 and 32912. First we will calculate the prime factors of 32904 and 32912.

Prime Factorization of 32904

Prime Factorization of 32912

Now multiplying the highest exponent prime factors to calculate the LCM of 32904 and 32912.

LCM(32904,32912) = 2⁴ × 3² × 457¹ × 11² × 17¹
LCM(32904,32912) = 135367056