What is the Least Common Multiple of 31074 and 31083?

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 31074 and 31083 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 31074 and 31083, than apply into the LCM equation.

GCF(31074,31083) = 3
LCM(31074,31083) = ( 31074 × 31083) / 3
LCM(31074,31083) = 965873142 / 3
LCM(31074,31083) = 321957714

Least Common Multiple (LCM) of 31074 and 31083 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 31074 and 31083. First we will calculate the prime factors of 31074 and 31083.

Prime Factorization of 31074

Prime Factorization of 31083

Now multiplying the highest exponent prime factors to calculate the LCM of 31074 and 31083.

LCM(31074,31083) = 2¹ × 3¹ × 5179¹ × 13¹ × 797¹
LCM(31074,31083) = 321957714