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What is the Least Common Multiple of 6492 and 6509?

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 6492 and 6509 is 42256428.

LCM(6492,6509) = 42256428

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Least Common Multiple of 6492 and 6509 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6492 and 6509, than apply into the LCM equation.

GCF(6492,6509) = 1
LCM(6492,6509) = ( 6492 × 6509) / 1
LCM(6492,6509) = 42256428 / 1
LCM(6492,6509) = 42256428

Least Common Multiple (LCM) of 6492 and 6509 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6492 and 6509. First we will calculate the prime factors of 6492 and 6509.

Prime Factorization of 6492

Prime factors of 6492 are 2, 3, 541. Prime factorization of 6492 in exponential form is:

6492 = 22 × 31 × 5411

Prime Factorization of 6509

Prime factors of 6509 are 23, 283. Prime factorization of 6509 in exponential form is:

6509 = 231 × 2831

Now multiplying the highest exponent prime factors to calculate the LCM of 6492 and 6509.

LCM(6492,6509) = 22 × 31 × 5411 × 231 × 2831
LCM(6492,6509) = 42256428