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What is the Least Common Multiple of 6460 and 6465?

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 6460 and 6465 is 8352780.

LCM(6460,6465) = 8352780

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Least Common Multiple of 6460 and 6465 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6460 and 6465, than apply into the LCM equation.

GCF(6460,6465) = 5
LCM(6460,6465) = ( 6460 × 6465) / 5
LCM(6460,6465) = 41763900 / 5
LCM(6460,6465) = 8352780

Least Common Multiple (LCM) of 6460 and 6465 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6460 and 6465. First we will calculate the prime factors of 6460 and 6465.

Prime Factorization of 6460

Prime factors of 6460 are 2, 5, 17, 19. Prime factorization of 6460 in exponential form is:

6460 = 22 × 51 × 171 × 191

Prime Factorization of 6465

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

6465 = 31 × 51 × 4311

Now multiplying the highest exponent prime factors to calculate the LCM of 6460 and 6465.

LCM(6460,6465) = 22 × 51 × 171 × 191 × 31 × 4311
LCM(6460,6465) = 8352780