What is the Least Common Multiple of 18012 and 18031?

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 18012 and 18031 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18012 and 18031, than apply into the LCM equation.

GCF(18012,18031) = 19
LCM(18012,18031) = ( 18012 × 18031) / 19
LCM(18012,18031) = 324774372 / 19
LCM(18012,18031) = 17093388

Least Common Multiple (LCM) of 18012 and 18031 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18012 and 18031. First we will calculate the prime factors of 18012 and 18031.

Prime Factorization of 18012

Prime Factorization of 18031

Now multiplying the highest exponent prime factors to calculate the LCM of 18012 and 18031.

LCM(18012,18031) = 2² × 3¹ × 19¹ × 79¹ × 13¹ × 73¹
LCM(18012,18031) = 17093388