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What is the Least Common Multiple of 6495 and 6508?

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 6495 and 6508 is 42269460.

LCM(6495,6508) = 42269460

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Least Common Multiple of 6495 and 6508 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6495 and 6508, than apply into the LCM equation.

GCF(6495,6508) = 1
LCM(6495,6508) = ( 6495 × 6508) / 1
LCM(6495,6508) = 42269460 / 1
LCM(6495,6508) = 42269460

Least Common Multiple (LCM) of 6495 and 6508 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6495 and 6508. First we will calculate the prime factors of 6495 and 6508.

Prime Factorization of 6495

Prime factors of 6495 are 3, 5, 433. Prime factorization of 6495 in exponential form is:

6495 = 31 × 51 × 4331

Prime Factorization of 6508

Prime factors of 6508 are 2, 1627. Prime factorization of 6508 in exponential form is:

6508 = 22 × 16271

Now multiplying the highest exponent prime factors to calculate the LCM of 6495 and 6508.

LCM(6495,6508) = 31 × 51 × 4331 × 22 × 16271
LCM(6495,6508) = 42269460