What is the Least Common Multiple of 31880 and 31898?

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 31880 and 31898 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 31880 and 31898, than apply into the LCM equation.

GCF(31880,31898) = 2
LCM(31880,31898) = ( 31880 × 31898) / 2
LCM(31880,31898) = 1016908240 / 2
LCM(31880,31898) = 508454120

Least Common Multiple (LCM) of 31880 and 31898 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 31880 and 31898. First we will calculate the prime factors of 31880 and 31898.

Prime Factorization of 31880

Prime Factorization of 31898

Now multiplying the highest exponent prime factors to calculate the LCM of 31880 and 31898.

LCM(31880,31898) = 2³ × 5¹ × 797¹ × 41¹ × 389¹
LCM(31880,31898) = 508454120