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What is the Least Common Multiple of 6498 and 6515?

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 6498 and 6515 is 42334470.

LCM(6498,6515) = 42334470

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Least Common Multiple of 6498 and 6515 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6498 and 6515, than apply into the LCM equation.

GCF(6498,6515) = 1
LCM(6498,6515) = ( 6498 × 6515) / 1
LCM(6498,6515) = 42334470 / 1
LCM(6498,6515) = 42334470

Least Common Multiple (LCM) of 6498 and 6515 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6498 and 6515. First we will calculate the prime factors of 6498 and 6515.

Prime Factorization of 6498

Prime factors of 6498 are 2, 3, 19. Prime factorization of 6498 in exponential form is:

6498 = 21 × 32 × 192

Prime Factorization of 6515

Prime factors of 6515 are 5, 1303. Prime factorization of 6515 in exponential form is:

6515 = 51 × 13031

Now multiplying the highest exponent prime factors to calculate the LCM of 6498 and 6515.

LCM(6498,6515) = 21 × 32 × 192 × 51 × 13031
LCM(6498,6515) = 42334470