What is the Least Common Multiple of 18480 and 18486?

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 18486 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 18486, than apply into the LCM equation.

GCF(18480,18486) = 6
LCM(18480,18486) = ( 18480 × 18486) / 6
LCM(18480,18486) = 341621280 / 6
LCM(18480,18486) = 56936880

Least Common Multiple (LCM) of 18480 and 18486 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18480 and 18486. First we will calculate the prime factors of 18480 and 18486.

Prime Factorization of 18480

Prime Factorization of 18486

Now multiplying the highest exponent prime factors to calculate the LCM of 18480 and 18486.

LCM(18480,18486) = 2⁴ × 3² × 5¹ × 7¹ × 11¹ × 13¹ × 79¹
LCM(18480,18486) = 56936880