What is the Least Common Multiple of 18576 and 18586?

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 18576 and 18586 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18576 and 18586, than apply into the LCM equation.

GCF(18576,18586) = 2
LCM(18576,18586) = ( 18576 × 18586) / 2
LCM(18576,18586) = 345253536 / 2
LCM(18576,18586) = 172626768

Least Common Multiple (LCM) of 18576 and 18586 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18576 and 18586. First we will calculate the prime factors of 18576 and 18586.

Prime Factorization of 18576

Prime Factorization of 18586

Now multiplying the highest exponent prime factors to calculate the LCM of 18576 and 18586.

LCM(18576,18586) = 2⁴ × 3³ × 43¹ × 9293¹
LCM(18576,18586) = 172626768