What is the Least Common Multiple of 8478 and 8496?

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 8478 and 8496 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8478 and 8496, than apply into the LCM equation.

GCF(8478,8496) = 18
LCM(8478,8496) = ( 8478 × 8496) / 18
LCM(8478,8496) = 72029088 / 18
LCM(8478,8496) = 4001616

Least Common Multiple (LCM) of 8478 and 8496 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8478 and 8496. First we will calculate the prime factors of 8478 and 8496.

Prime Factorization of 8478

Prime Factorization of 8496

Now multiplying the highest exponent prime factors to calculate the LCM of 8478 and 8496.

LCM(8478,8496) = 2⁴ × 3³ × 157¹ × 59¹
LCM(8478,8496) = 4001616