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What is the Least Common Multiple of 6465 and 6471?

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 6465 and 6471 is 13945005.

LCM(6465,6471) = 13945005

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Least Common Multiple of 6465 and 6471 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6465 and 6471, than apply into the LCM equation.

GCF(6465,6471) = 3
LCM(6465,6471) = ( 6465 × 6471) / 3
LCM(6465,6471) = 41835015 / 3
LCM(6465,6471) = 13945005

Least Common Multiple (LCM) of 6465 and 6471 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6465 and 6471. First we will calculate the prime factors of 6465 and 6471.

Prime Factorization of 6465

Prime factors of 6465 are 3, 5, 431. Prime factorization of 6465 in exponential form is:

6465 = 31 × 51 × 4311

Prime Factorization of 6471

Prime factors of 6471 are 3, 719. Prime factorization of 6471 in exponential form is:

6471 = 32 × 7191

Now multiplying the highest exponent prime factors to calculate the LCM of 6465 and 6471.

LCM(6465,6471) = 32 × 51 × 4311 × 7191
LCM(6465,6471) = 13945005