What is the Least Common Multiple of 31214 and 31231?

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 31214 and 31231 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 31214 and 31231, than apply into the LCM equation.

GCF(31214,31231) = 1
LCM(31214,31231) = ( 31214 × 31231) / 1
LCM(31214,31231) = 974844434 / 1
LCM(31214,31231) = 974844434

Least Common Multiple (LCM) of 31214 and 31231 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 31214 and 31231. First we will calculate the prime factors of 31214 and 31231.

Prime Factorization of 31214

Prime Factorization of 31231

Now multiplying the highest exponent prime factors to calculate the LCM of 31214 and 31231.

LCM(31214,31231) = 2¹ × 15607¹ × 31231¹
LCM(31214,31231) = 974844434