What is the Least Common Multiple of 32328 and 32336?

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 32328 and 32336 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 32328 and 32336, than apply into the LCM equation.

GCF(32328,32336) = 8
LCM(32328,32336) = ( 32328 × 32336) / 8
LCM(32328,32336) = 1045358208 / 8
LCM(32328,32336) = 130669776

Least Common Multiple (LCM) of 32328 and 32336 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 32328 and 32336. First we will calculate the prime factors of 32328 and 32336.

Prime Factorization of 32328

Prime Factorization of 32336

Now multiplying the highest exponent prime factors to calculate the LCM of 32328 and 32336.

LCM(32328,32336) = 2⁴ × 3² × 449¹ × 43¹ × 47¹
LCM(32328,32336) = 130669776