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What is the Least Common Multiple of 9669 and 9687?

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 9669 and 9687 is 31221201.

LCM(9669,9687) = 31221201

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Least Common Multiple of 9669 and 9687 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9669 and 9687, than apply into the LCM equation.

GCF(9669,9687) = 3
LCM(9669,9687) = ( 9669 × 9687) / 3
LCM(9669,9687) = 93663603 / 3
LCM(9669,9687) = 31221201

Least Common Multiple (LCM) of 9669 and 9687 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 9669 and 9687. First we will calculate the prime factors of 9669 and 9687.

Prime Factorization of 9669

Prime factors of 9669 are 3, 11, 293. Prime factorization of 9669 in exponential form is:

9669 = 31 × 111 × 2931

Prime Factorization of 9687

Prime factors of 9687 are 3, 3229. Prime factorization of 9687 in exponential form is:

9687 = 31 × 32291

Now multiplying the highest exponent prime factors to calculate the LCM of 9669 and 9687.

LCM(9669,9687) = 31 × 111 × 2931 × 32291
LCM(9669,9687) = 31221201