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What is the Least Common Multiple of 6769 and 6785?

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 6769 and 6785 is 45927665.

LCM(6769,6785) = 45927665

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Least Common Multiple of 6769 and 6785 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6769 and 6785, than apply into the LCM equation.

GCF(6769,6785) = 1
LCM(6769,6785) = ( 6769 × 6785) / 1
LCM(6769,6785) = 45927665 / 1
LCM(6769,6785) = 45927665

Least Common Multiple (LCM) of 6769 and 6785 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6769 and 6785. First we will calculate the prime factors of 6769 and 6785.

Prime Factorization of 6769

Prime factors of 6769 are 7, 967. Prime factorization of 6769 in exponential form is:

6769 = 71 × 9671

Prime Factorization of 6785

Prime factors of 6785 are 5, 23, 59. Prime factorization of 6785 in exponential form is:

6785 = 51 × 231 × 591

Now multiplying the highest exponent prime factors to calculate the LCM of 6769 and 6785.

LCM(6769,6785) = 71 × 9671 × 51 × 231 × 591
LCM(6769,6785) = 45927665