What is the Least Common Multiple of 31328 and 31342?

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 31342 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 31342, than apply into the LCM equation.

GCF(31328,31342) = 2
LCM(31328,31342) = ( 31328 × 31342) / 2
LCM(31328,31342) = 981882176 / 2
LCM(31328,31342) = 490941088

Least Common Multiple (LCM) of 31328 and 31342 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 31328 and 31342. First we will calculate the prime factors of 31328 and 31342.

Prime Factorization of 31328

Prime Factorization of 31342

Now multiplying the highest exponent prime factors to calculate the LCM of 31328 and 31342.

LCM(31328,31342) = 2⁵ × 11¹ × 89¹ × 15671¹
LCM(31328,31342) = 490941088