What is the Least Common Multiple of 31598 and 31610?

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 31598 and 31610 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 31598 and 31610, than apply into the LCM equation.

GCF(31598,31610) = 2
LCM(31598,31610) = ( 31598 × 31610) / 2
LCM(31598,31610) = 998812780 / 2
LCM(31598,31610) = 499406390

Least Common Multiple (LCM) of 31598 and 31610 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 31598 and 31610. First we will calculate the prime factors of 31598 and 31610.

Prime Factorization of 31598

Prime Factorization of 31610

Now multiplying the highest exponent prime factors to calculate the LCM of 31598 and 31610.

LCM(31598,31610) = 2¹ × 7¹ × 37¹ × 61¹ × 5¹ × 29¹ × 109¹
LCM(31598,31610) = 499406390