What is the Least Common Multiple of 31274 and 31282?

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 31274 and 31282 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 31274 and 31282, than apply into the LCM equation.

GCF(31274,31282) = 2
LCM(31274,31282) = ( 31274 × 31282) / 2
LCM(31274,31282) = 978313268 / 2
LCM(31274,31282) = 489156634

Least Common Multiple (LCM) of 31274 and 31282 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 31274 and 31282. First we will calculate the prime factors of 31274 and 31282.

Prime Factorization of 31274

Prime Factorization of 31282

Now multiplying the highest exponent prime factors to calculate the LCM of 31274 and 31282.

LCM(31274,31282) = 2¹ × 19¹ × 823¹ × 15641¹
LCM(31274,31282) = 489156634