What is the Least Common Multiple of 6478 and 6496?

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 6478 and 6496 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6478 and 6496, than apply into the LCM equation.

GCF(6478,6496) = 2
LCM(6478,6496) = ( 6478 × 6496) / 2
LCM(6478,6496) = 42081088 / 2
LCM(6478,6496) = 21040544

Least Common Multiple (LCM) of 6478 and 6496 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6478 and 6496. First we will calculate the prime factors of 6478 and 6496.

Prime Factorization of 6478

Prime Factorization of 6496

Now multiplying the highest exponent prime factors to calculate the LCM of 6478 and 6496.

LCM(6478,6496) = 2⁵ × 41¹ × 79¹ × 7¹ × 29¹
LCM(6478,6496) = 21040544