What is the Least Common Multiple of 18564 and 18584?

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 18564 and 18584 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18564 and 18584, than apply into the LCM equation.

GCF(18564,18584) = 4
LCM(18564,18584) = ( 18564 × 18584) / 4
LCM(18564,18584) = 344993376 / 4
LCM(18564,18584) = 86248344

Least Common Multiple (LCM) of 18564 and 18584 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18564 and 18584. First we will calculate the prime factors of 18564 and 18584.

Prime Factorization of 18564

Prime Factorization of 18584

Now multiplying the highest exponent prime factors to calculate the LCM of 18564 and 18584.

LCM(18564,18584) = 2³ × 3¹ × 7¹ × 13¹ × 17¹ × 23¹ × 101¹
LCM(18564,18584) = 86248344