What is the Least Common Multiple of 10476 and 10496?

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 10476 and 10496 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10476 and 10496, than apply into the LCM equation.

GCF(10476,10496) = 4
LCM(10476,10496) = ( 10476 × 10496) / 4
LCM(10476,10496) = 109956096 / 4
LCM(10476,10496) = 27489024

Least Common Multiple (LCM) of 10476 and 10496 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 10476 and 10496. First we will calculate the prime factors of 10476 and 10496.

Prime Factorization of 10476

Prime Factorization of 10496

Now multiplying the highest exponent prime factors to calculate the LCM of 10476 and 10496.

LCM(10476,10496) = 2⁸ × 3³ × 97¹ × 41¹
LCM(10476,10496) = 27489024