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What is the Least Common Multiple of 9666 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 9666 and 9674 is 46754442.

LCM(9666,9674) = 46754442

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Least Common Multiple of 9666 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 9666 and 9674, than apply into the LCM equation.

GCF(9666,9674) = 2
LCM(9666,9674) = ( 9666 × 9674) / 2
LCM(9666,9674) = 93508884 / 2
LCM(9666,9674) = 46754442

Least Common Multiple (LCM) of 9666 and 9674 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 9666 and 9674. First we will calculate the prime factors of 9666 and 9674.

Prime Factorization of 9666

Prime factors of 9666 are 2, 3, 179. Prime factorization of 9666 in exponential form is:

9666 = 21 × 33 × 1791

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 9666 and 9674.

LCM(9666,9674) = 21 × 33 × 1791 × 71 × 6911
LCM(9666,9674) = 46754442