What is the Least Common Multiple of 31849 and 31869?

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 31849 and 31869 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 31849 and 31869, than apply into the LCM equation.

GCF(31849,31869) = 1
LCM(31849,31869) = ( 31849 × 31869) / 1
LCM(31849,31869) = 1014995781 / 1
LCM(31849,31869) = 1014995781

Least Common Multiple (LCM) of 31849 and 31869 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 31849 and 31869. First we will calculate the prime factors of 31849 and 31869.

Prime Factorization of 31849

Prime Factorization of 31869

Now multiplying the highest exponent prime factors to calculate the LCM of 31849 and 31869.

LCM(31849,31869) = 31849¹ × 3² × 3541¹
LCM(31849,31869) = 1014995781