What is the Least Common Multiple of 12480 and 12496?

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 12496 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 12496, than apply into the LCM equation.

GCF(12480,12496) = 16
LCM(12480,12496) = ( 12480 × 12496) / 16
LCM(12480,12496) = 155950080 / 16
LCM(12480,12496) = 9746880

Least Common Multiple (LCM) of 12480 and 12496 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12480 and 12496. First we will calculate the prime factors of 12480 and 12496.

Prime Factorization of 12480

Prime Factorization of 12496

Now multiplying the highest exponent prime factors to calculate the LCM of 12480 and 12496.

LCM(12480,12496) = 2⁶ × 3¹ × 5¹ × 13¹ × 11¹ × 71¹
LCM(12480,12496) = 9746880