What is the Least Common Multiple of 32928 and 32938?

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 32928 and 32938 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 32928 and 32938, than apply into the LCM equation.

GCF(32928,32938) = 2
LCM(32928,32938) = ( 32928 × 32938) / 2
LCM(32928,32938) = 1084582464 / 2
LCM(32928,32938) = 542291232

Least Common Multiple (LCM) of 32928 and 32938 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 32928 and 32938. First we will calculate the prime factors of 32928 and 32938.

Prime Factorization of 32928

Prime Factorization of 32938

Now multiplying the highest exponent prime factors to calculate the LCM of 32928 and 32938.

LCM(32928,32938) = 2⁵ × 3¹ × 7³ × 43¹ × 383¹
LCM(32928,32938) = 542291232