What is the Least Common Multiple of 31880 and 31900?

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 31900 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 31900, than apply into the LCM equation.

GCF(31880,31900) = 20
LCM(31880,31900) = ( 31880 × 31900) / 20
LCM(31880,31900) = 1016972000 / 20
LCM(31880,31900) = 50848600

Least Common Multiple (LCM) of 31880 and 31900 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 31880 and 31900. First we will calculate the prime factors of 31880 and 31900.

Prime Factorization of 31880

Prime Factorization of 31900

Now multiplying the highest exponent prime factors to calculate the LCM of 31880 and 31900.

LCM(31880,31900) = 2³ × 5² × 797¹ × 11¹ × 29¹
LCM(31880,31900) = 50848600