What is the Least Common Multiple of 31229 and 31237?

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 31229 and 31237 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 31229 and 31237, than apply into the LCM equation.

GCF(31229,31237) = 1
LCM(31229,31237) = ( 31229 × 31237) / 1
LCM(31229,31237) = 975500273 / 1
LCM(31229,31237) = 975500273

Least Common Multiple (LCM) of 31229 and 31237 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 31229 and 31237. First we will calculate the prime factors of 31229 and 31237.

Prime Factorization of 31229

Prime Factorization of 31237

Now multiplying the highest exponent prime factors to calculate the LCM of 31229 and 31237.

LCM(31229,31237) = 11¹ × 17¹ × 167¹ × 31237¹
LCM(31229,31237) = 975500273