What is the Least Common Multiple of 31339 and 31353?

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 31339 and 31353 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 31339 and 31353, than apply into the LCM equation.

GCF(31339,31353) = 7
LCM(31339,31353) = ( 31339 × 31353) / 7
LCM(31339,31353) = 982571667 / 7
LCM(31339,31353) = 140367381

Least Common Multiple (LCM) of 31339 and 31353 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 31339 and 31353. First we will calculate the prime factors of 31339 and 31353.

Prime Factorization of 31339

Prime Factorization of 31353

Now multiplying the highest exponent prime factors to calculate the LCM of 31339 and 31353.

LCM(31339,31353) = 7¹ × 11² × 37¹ × 3¹ × 1493¹
LCM(31339,31353) = 140367381