What is the Least Common Multiple of 18102 and 18122?

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 18102 and 18122 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18102 and 18122, than apply into the LCM equation.

GCF(18102,18122) = 2
LCM(18102,18122) = ( 18102 × 18122) / 2
LCM(18102,18122) = 328044444 / 2
LCM(18102,18122) = 164022222

Least Common Multiple (LCM) of 18102 and 18122 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18102 and 18122. First we will calculate the prime factors of 18102 and 18122.

Prime Factorization of 18102

Prime Factorization of 18122

Now multiplying the highest exponent prime factors to calculate the LCM of 18102 and 18122.

LCM(18102,18122) = 2¹ × 3¹ × 7¹ × 431¹ × 13¹ × 17¹ × 41¹
LCM(18102,18122) = 164022222