What is the Least Common Multiple of 18519 and 18534?

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 18519 and 18534 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18519 and 18534, than apply into the LCM equation.

GCF(18519,18534) = 3
LCM(18519,18534) = ( 18519 × 18534) / 3
LCM(18519,18534) = 343231146 / 3
LCM(18519,18534) = 114410382

Least Common Multiple (LCM) of 18519 and 18534 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18519 and 18534. First we will calculate the prime factors of 18519 and 18534.

Prime Factorization of 18519

Prime Factorization of 18534

Now multiplying the highest exponent prime factors to calculate the LCM of 18519 and 18534.

LCM(18519,18534) = 3¹ × 6173¹ × 2¹ × 3089¹
LCM(18519,18534) = 114410382