What is the Least Common Multiple of 31049 and 31069?

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 31049 and 31069 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 31049 and 31069, than apply into the LCM equation.

GCF(31049,31069) = 1
LCM(31049,31069) = ( 31049 × 31069) / 1
LCM(31049,31069) = 964661381 / 1
LCM(31049,31069) = 964661381

Least Common Multiple (LCM) of 31049 and 31069 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 31049 and 31069. First we will calculate the prime factors of 31049 and 31069.

Prime Factorization of 31049

Prime Factorization of 31069

Now multiplying the highest exponent prime factors to calculate the LCM of 31049 and 31069.

LCM(31049,31069) = 61¹ × 509¹ × 31069¹
LCM(31049,31069) = 964661381