What is the Least Common Multiple of 93018 and 93031?

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 93018 and 93031 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93018 and 93031, than apply into the LCM equation.

GCF(93018,93031) = 1
LCM(93018,93031) = ( 93018 × 93031) / 1
LCM(93018,93031) = 8653557558 / 1
LCM(93018,93031) = 8653557558

Least Common Multiple (LCM) of 93018 and 93031 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93018 and 93031. First we will calculate the prime factors of 93018 and 93031.

Prime Factorization of 93018

Prime Factorization of 93031

Now multiplying the highest exponent prime factors to calculate the LCM of 93018 and 93031.

LCM(93018,93031) = 2¹ × 3¹ × 37¹ × 419¹ × 31¹ × 3001¹
LCM(93018,93031) = 8653557558