What is the Least Common Multiple of 31334 and 31352?

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 31334 and 31352 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 31334 and 31352, than apply into the LCM equation.

GCF(31334,31352) = 2
LCM(31334,31352) = ( 31334 × 31352) / 2
LCM(31334,31352) = 982383568 / 2
LCM(31334,31352) = 491191784

Least Common Multiple (LCM) of 31334 and 31352 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 31334 and 31352. First we will calculate the prime factors of 31334 and 31352.

Prime Factorization of 31334

Prime Factorization of 31352

Now multiplying the highest exponent prime factors to calculate the LCM of 31334 and 31352.

LCM(31334,31352) = 2³ × 15667¹ × 3919¹
LCM(31334,31352) = 491191784