What is the Least Common Multiple of 31322 and 31339?

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 31322 and 31339 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 31322 and 31339, than apply into the LCM equation.

GCF(31322,31339) = 1
LCM(31322,31339) = ( 31322 × 31339) / 1
LCM(31322,31339) = 981600158 / 1
LCM(31322,31339) = 981600158

Least Common Multiple (LCM) of 31322 and 31339 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 31322 and 31339. First we will calculate the prime factors of 31322 and 31339.

Prime Factorization of 31322

Prime Factorization of 31339

Now multiplying the highest exponent prime factors to calculate the LCM of 31322 and 31339.

LCM(31322,31339) = 2¹ × 15661¹ × 7¹ × 11² × 37¹
LCM(31322,31339) = 981600158