What is the Least Common Multiple of 31328 and 31338?

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 31328 and 31338 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 31328 and 31338, than apply into the LCM equation.

GCF(31328,31338) = 2
LCM(31328,31338) = ( 31328 × 31338) / 2
LCM(31328,31338) = 981756864 / 2
LCM(31328,31338) = 490878432

Least Common Multiple (LCM) of 31328 and 31338 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 31328 and 31338. First we will calculate the prime factors of 31328 and 31338.

Prime Factorization of 31328

Prime Factorization of 31338

Now multiplying the highest exponent prime factors to calculate the LCM of 31328 and 31338.

LCM(31328,31338) = 2⁵ × 11¹ × 89¹ × 3² × 1741¹
LCM(31328,31338) = 490878432