What is the Least Common Multiple of 6480 and 6497?

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 6480 and 6497 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6480 and 6497, than apply into the LCM equation.

GCF(6480,6497) = 1
LCM(6480,6497) = ( 6480 × 6497) / 1
LCM(6480,6497) = 42100560 / 1
LCM(6480,6497) = 42100560

Least Common Multiple (LCM) of 6480 and 6497 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6480 and 6497. First we will calculate the prime factors of 6480 and 6497.

Prime Factorization of 6480

Prime Factorization of 6497

Now multiplying the highest exponent prime factors to calculate the LCM of 6480 and 6497.

LCM(6480,6497) = 2⁴ × 3⁴ × 5¹ × 73¹ × 89¹
LCM(6480,6497) = 42100560