What is the Least Common Multiple of 18480 and 18497?

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 18497 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 18497, than apply into the LCM equation.

GCF(18480,18497) = 1
LCM(18480,18497) = ( 18480 × 18497) / 1
LCM(18480,18497) = 341824560 / 1
LCM(18480,18497) = 341824560

Least Common Multiple (LCM) of 18480 and 18497 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18480 and 18497. First we will calculate the prime factors of 18480 and 18497.

Prime Factorization of 18480

Prime Factorization of 18497

Now multiplying the highest exponent prime factors to calculate the LCM of 18480 and 18497.

LCM(18480,18497) = 2⁴ × 3¹ × 5¹ × 7¹ × 11¹ × 53¹ × 349¹
LCM(18480,18497) = 341824560