What is the Least Common Multiple of 18480 and 18485?

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 18480 and 18485 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18480 and 18485, than apply into the LCM equation.

GCF(18480,18485) = 5
LCM(18480,18485) = ( 18480 × 18485) / 5
LCM(18480,18485) = 341602800 / 5
LCM(18480,18485) = 68320560

Least Common Multiple (LCM) of 18480 and 18485 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18480 and 18485. First we will calculate the prime factors of 18480 and 18485.

Prime Factorization of 18480

Prime Factorization of 18485

Now multiplying the highest exponent prime factors to calculate the LCM of 18480 and 18485.

LCM(18480,18485) = 2⁴ × 3¹ × 5¹ × 7¹ × 11¹ × 3697¹
LCM(18480,18485) = 68320560