What is the Least Common Multiple of 32336 and 32353?

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 32336 and 32353 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 32336 and 32353, than apply into the LCM equation.

GCF(32336,32353) = 1
LCM(32336,32353) = ( 32336 × 32353) / 1
LCM(32336,32353) = 1046166608 / 1
LCM(32336,32353) = 1046166608

Least Common Multiple (LCM) of 32336 and 32353 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 32336 and 32353. First we will calculate the prime factors of 32336 and 32353.

Prime Factorization of 32336

Prime Factorization of 32353

Now multiplying the highest exponent prime factors to calculate the LCM of 32336 and 32353.

LCM(32336,32353) = 2⁴ × 43¹ × 47¹ × 32353¹
LCM(32336,32353) = 1046166608