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What is the Least Common Multiple of 9677 and 9681?

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 9677 and 9681 is 93683037.

LCM(9677,9681) = 93683037

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Least Common Multiple of 9677 and 9681 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9677 and 9681, than apply into the LCM equation.

GCF(9677,9681) = 1
LCM(9677,9681) = ( 9677 × 9681) / 1
LCM(9677,9681) = 93683037 / 1
LCM(9677,9681) = 93683037

Least Common Multiple (LCM) of 9677 and 9681 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 9677 and 9681. First we will calculate the prime factors of 9677 and 9681.

Prime Factorization of 9677

Prime factors of 9677 are 9677. Prime factorization of 9677 in exponential form is:

9677 = 96771

Prime Factorization of 9681

Prime factors of 9681 are 3, 7, 461. Prime factorization of 9681 in exponential form is:

9681 = 31 × 71 × 4611

Now multiplying the highest exponent prime factors to calculate the LCM of 9677 and 9681.

LCM(9677,9681) = 96771 × 31 × 71 × 4611
LCM(9677,9681) = 93683037