What is the Least Common Multiple of 18480 and 18490?

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 18490 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 18490, than apply into the LCM equation.

GCF(18480,18490) = 10
LCM(18480,18490) = ( 18480 × 18490) / 10
LCM(18480,18490) = 341695200 / 10
LCM(18480,18490) = 34169520

Least Common Multiple (LCM) of 18480 and 18490 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18480 and 18490. First we will calculate the prime factors of 18480 and 18490.

Prime Factorization of 18480

Prime Factorization of 18490

Now multiplying the highest exponent prime factors to calculate the LCM of 18480 and 18490.

LCM(18480,18490) = 2⁴ × 3¹ × 5¹ × 7¹ × 11¹ × 43²
LCM(18480,18490) = 34169520