What is the Least Common Multiple of 12480 and 12493?

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 12480 and 12493 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12480 and 12493, than apply into the LCM equation.

GCF(12480,12493) = 13
LCM(12480,12493) = ( 12480 × 12493) / 13
LCM(12480,12493) = 155912640 / 13
LCM(12480,12493) = 11993280

Least Common Multiple (LCM) of 12480 and 12493 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12480 and 12493. First we will calculate the prime factors of 12480 and 12493.

Prime Factorization of 12480

Prime Factorization of 12493

Now multiplying the highest exponent prime factors to calculate the LCM of 12480 and 12493.

LCM(12480,12493) = 2⁶ × 3¹ × 5¹ × 13¹ × 31²
LCM(12480,12493) = 11993280