What is the Least Common Multiple of 18750 and 18765?

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 18750 and 18765 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18750 and 18765, than apply into the LCM equation.

GCF(18750,18765) = 15
LCM(18750,18765) = ( 18750 × 18765) / 15
LCM(18750,18765) = 351843750 / 15
LCM(18750,18765) = 23456250

Least Common Multiple (LCM) of 18750 and 18765 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18750 and 18765. First we will calculate the prime factors of 18750 and 18765.

Prime Factorization of 18750

Prime Factorization of 18765

Now multiplying the highest exponent prime factors to calculate the LCM of 18750 and 18765.

LCM(18750,18765) = 2¹ × 3³ × 5⁵ × 139¹
LCM(18750,18765) = 23456250