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What is the Least Common Multiple of 6757 and 6763?

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 6757 and 6763 is 45697591.

LCM(6757,6763) = 45697591

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Least Common Multiple of 6757 and 6763 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6757 and 6763, than apply into the LCM equation.

GCF(6757,6763) = 1
LCM(6757,6763) = ( 6757 × 6763) / 1
LCM(6757,6763) = 45697591 / 1
LCM(6757,6763) = 45697591

Least Common Multiple (LCM) of 6757 and 6763 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6757 and 6763. First we will calculate the prime factors of 6757 and 6763.

Prime Factorization of 6757

Prime factors of 6757 are 29, 233. Prime factorization of 6757 in exponential form is:

6757 = 291 × 2331

Prime Factorization of 6763

Prime factors of 6763 are 6763. Prime factorization of 6763 in exponential form is:

6763 = 67631

Now multiplying the highest exponent prime factors to calculate the LCM of 6757 and 6763.

LCM(6757,6763) = 291 × 2331 × 67631
LCM(6757,6763) = 45697591