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What is the Least Common Multiple of 6467 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 (LCM) of 6467 and 6480 is 41906160.

LCM(6467,6480) = 41906160

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Least Common Multiple of 6467 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 6467 and 6480, than apply into the LCM equation.

GCF(6467,6480) = 1
LCM(6467,6480) = ( 6467 × 6480) / 1
LCM(6467,6480) = 41906160 / 1
LCM(6467,6480) = 41906160

Least Common Multiple (LCM) of 6467 and 6480 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6467 and 6480. First we will calculate the prime factors of 6467 and 6480.

Prime Factorization of 6467

Prime factors of 6467 are 29, 223. Prime factorization of 6467 in exponential form is:

6467 = 291 × 2231

Prime Factorization of 6480

Prime factors of 6480 are 2, 3, 5. Prime factorization of 6480 in exponential form is:

6480 = 24 × 34 × 51

Now multiplying the highest exponent prime factors to calculate the LCM of 6467 and 6480.

LCM(6467,6480) = 291 × 2231 × 24 × 34 × 51
LCM(6467,6480) = 41906160