What is the Least Common Multiple of 31278 and 31298?

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 31278 and 31298 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 31278 and 31298, than apply into the LCM equation.

GCF(31278,31298) = 2
LCM(31278,31298) = ( 31278 × 31298) / 2
LCM(31278,31298) = 978938844 / 2
LCM(31278,31298) = 489469422

Least Common Multiple (LCM) of 31278 and 31298 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 31278 and 31298. First we will calculate the prime factors of 31278 and 31298.

Prime Factorization of 31278

Prime Factorization of 31298

Now multiplying the highest exponent prime factors to calculate the LCM of 31278 and 31298.

LCM(31278,31298) = 2¹ × 3¹ × 13¹ × 401¹ × 15649¹
LCM(31278,31298) = 489469422