What is the Least Common Multiple of 18489 and 18505?

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 18489 and 18505 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18489 and 18505, than apply into the LCM equation.

GCF(18489,18505) = 1
LCM(18489,18505) = ( 18489 × 18505) / 1
LCM(18489,18505) = 342138945 / 1
LCM(18489,18505) = 342138945

Least Common Multiple (LCM) of 18489 and 18505 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18489 and 18505. First we will calculate the prime factors of 18489 and 18505.

Prime Factorization of 18489

Prime Factorization of 18505

Now multiplying the highest exponent prime factors to calculate the LCM of 18489 and 18505.

LCM(18489,18505) = 3¹ × 6163¹ × 5¹ × 3701¹
LCM(18489,18505) = 342138945