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What is the Least Common Multiple of 6485 and 6493?

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 6485 and 6493 is 42107105.

LCM(6485,6493) = 42107105

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Least Common Multiple of 6485 and 6493 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6485 and 6493, than apply into the LCM equation.

GCF(6485,6493) = 1
LCM(6485,6493) = ( 6485 × 6493) / 1
LCM(6485,6493) = 42107105 / 1
LCM(6485,6493) = 42107105

Least Common Multiple (LCM) of 6485 and 6493 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6485 and 6493. First we will calculate the prime factors of 6485 and 6493.

Prime Factorization of 6485

Prime factors of 6485 are 5, 1297. Prime factorization of 6485 in exponential form is:

6485 = 51 × 12971

Prime Factorization of 6493

Prime factors of 6493 are 43, 151. Prime factorization of 6493 in exponential form is:

6493 = 431 × 1511

Now multiplying the highest exponent prime factors to calculate the LCM of 6485 and 6493.

LCM(6485,6493) = 51 × 12971 × 431 × 1511
LCM(6485,6493) = 42107105