What is the Least Common Multiple of 31698 and 31713?

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 31698 and 31713 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 31698 and 31713, than apply into the LCM equation.

GCF(31698,31713) = 3
LCM(31698,31713) = ( 31698 × 31713) / 3
LCM(31698,31713) = 1005238674 / 3
LCM(31698,31713) = 335079558

Least Common Multiple (LCM) of 31698 and 31713 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 31698 and 31713. First we will calculate the prime factors of 31698 and 31713.

Prime Factorization of 31698

Prime Factorization of 31713

Now multiplying the highest exponent prime factors to calculate the LCM of 31698 and 31713.

LCM(31698,31713) = 2¹ × 3³ × 587¹ × 11¹ × 31²
LCM(31698,31713) = 335079558