What is the Least Common Multiple of 18105 and 18125?

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 18105 and 18125 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18105 and 18125, than apply into the LCM equation.

GCF(18105,18125) = 5
LCM(18105,18125) = ( 18105 × 18125) / 5
LCM(18105,18125) = 328153125 / 5
LCM(18105,18125) = 65630625

Least Common Multiple (LCM) of 18105 and 18125 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18105 and 18125. First we will calculate the prime factors of 18105 and 18125.

Prime Factorization of 18105

Prime Factorization of 18125

Now multiplying the highest exponent prime factors to calculate the LCM of 18105 and 18125.

LCM(18105,18125) = 3¹ × 5⁴ × 17¹ × 71¹ × 29¹
LCM(18105,18125) = 65630625