What is the Least Common Multiple of 6471 and 6480?

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 6471 and 6480 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6471 and 6480, than apply into the LCM equation.

GCF(6471,6480) = 9
LCM(6471,6480) = ( 6471 × 6480) / 9
LCM(6471,6480) = 41932080 / 9
LCM(6471,6480) = 4659120

Least Common Multiple (LCM) of 6471 and 6480 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6471 and 6480. First we will calculate the prime factors of 6471 and 6480.

Prime Factorization of 6471

Prime Factorization of 6480

Now multiplying the highest exponent prime factors to calculate the LCM of 6471 and 6480.

LCM(6471,6480) = 3⁴ × 719¹ × 2⁴ × 5¹
LCM(6471,6480) = 4659120