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What is the Least Common Multiple of 6507 and 6514?

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 6507 and 6514 is 42386598.

LCM(6507,6514) = 42386598

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Least Common Multiple of 6507 and 6514 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6507 and 6514, than apply into the LCM equation.

GCF(6507,6514) = 1
LCM(6507,6514) = ( 6507 × 6514) / 1
LCM(6507,6514) = 42386598 / 1
LCM(6507,6514) = 42386598

Least Common Multiple (LCM) of 6507 and 6514 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6507 and 6514. First we will calculate the prime factors of 6507 and 6514.

Prime Factorization of 6507

Prime factors of 6507 are 3, 241. Prime factorization of 6507 in exponential form is:

6507 = 33 × 2411

Prime Factorization of 6514

Prime factors of 6514 are 2, 3257. Prime factorization of 6514 in exponential form is:

6514 = 21 × 32571

Now multiplying the highest exponent prime factors to calculate the LCM of 6507 and 6514.

LCM(6507,6514) = 33 × 2411 × 21 × 32571
LCM(6507,6514) = 42386598