What is the Least Common Multiple of 32331 and 32346?

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 32331 and 32346 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 32331 and 32346, than apply into the LCM equation.

GCF(32331,32346) = 3
LCM(32331,32346) = ( 32331 × 32346) / 3
LCM(32331,32346) = 1045778526 / 3
LCM(32331,32346) = 348592842

Least Common Multiple (LCM) of 32331 and 32346 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 32331 and 32346. First we will calculate the prime factors of 32331 and 32346.

Prime Factorization of 32331

Prime Factorization of 32346

Now multiplying the highest exponent prime factors to calculate the LCM of 32331 and 32346.

LCM(32331,32346) = 3³ × 13¹ × 829¹ × 2¹ × 599¹
LCM(32331,32346) = 348592842