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What is the Least Common Multiple of 9665 and 9674?

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 9665 and 9674 is 93499210.

LCM(9665,9674) = 93499210

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Least Common Multiple of 9665 and 9674 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9665 and 9674, than apply into the LCM equation.

GCF(9665,9674) = 1
LCM(9665,9674) = ( 9665 × 9674) / 1
LCM(9665,9674) = 93499210 / 1
LCM(9665,9674) = 93499210

Least Common Multiple (LCM) of 9665 and 9674 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 9665 and 9674. First we will calculate the prime factors of 9665 and 9674.

Prime Factorization of 9665

Prime factors of 9665 are 5, 1933. Prime factorization of 9665 in exponential form is:

9665 = 51 × 19331

Prime Factorization of 9674

Prime factors of 9674 are 2, 7, 691. Prime factorization of 9674 in exponential form is:

9674 = 21 × 71 × 6911

Now multiplying the highest exponent prime factors to calculate the LCM of 9665 and 9674.

LCM(9665,9674) = 51 × 19331 × 21 × 71 × 6911
LCM(9665,9674) = 93499210