What is the Least Common Multiple of 32346 and 32364?

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 32346 and 32364 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 32346 and 32364, than apply into the LCM equation.

GCF(32346,32364) = 18
LCM(32346,32364) = ( 32346 × 32364) / 18
LCM(32346,32364) = 1046845944 / 18
LCM(32346,32364) = 58158108

Least Common Multiple (LCM) of 32346 and 32364 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 32346 and 32364. First we will calculate the prime factors of 32346 and 32364.

Prime Factorization of 32346

Prime Factorization of 32364

Now multiplying the highest exponent prime factors to calculate the LCM of 32346 and 32364.

LCM(32346,32364) = 2² × 3³ × 599¹ × 29¹ × 31¹
LCM(32346,32364) = 58158108