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What is the Least Common Multiple of 7669 and 7681?

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 7669 and 7681 is 58905589.

LCM(7669,7681) = 58905589

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Least Common Multiple of 7669 and 7681 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7669 and 7681, than apply into the LCM equation.

GCF(7669,7681) = 1
LCM(7669,7681) = ( 7669 × 7681) / 1
LCM(7669,7681) = 58905589 / 1
LCM(7669,7681) = 58905589

Least Common Multiple (LCM) of 7669 and 7681 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7669 and 7681. First we will calculate the prime factors of 7669 and 7681.

Prime Factorization of 7669

Prime factors of 7669 are 7669. Prime factorization of 7669 in exponential form is:

7669 = 76691

Prime Factorization of 7681

Prime factors of 7681 are 7681. Prime factorization of 7681 in exponential form is:

7681 = 76811

Now multiplying the highest exponent prime factors to calculate the LCM of 7669 and 7681.

LCM(7669,7681) = 76691 × 76811
LCM(7669,7681) = 58905589