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What is the Least Common Multiple of 9670 and 9684?

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 9670 and 9684 is 46822140.

LCM(9670,9684) = 46822140

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Least Common Multiple of 9670 and 9684 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9670 and 9684, than apply into the LCM equation.

GCF(9670,9684) = 2
LCM(9670,9684) = ( 9670 × 9684) / 2
LCM(9670,9684) = 93644280 / 2
LCM(9670,9684) = 46822140

Least Common Multiple (LCM) of 9670 and 9684 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 9670 and 9684. First we will calculate the prime factors of 9670 and 9684.

Prime Factorization of 9670

Prime factors of 9670 are 2, 5, 967. Prime factorization of 9670 in exponential form is:

9670 = 21 × 51 × 9671

Prime Factorization of 9684

Prime factors of 9684 are 2, 3, 269. Prime factorization of 9684 in exponential form is:

9684 = 22 × 32 × 2691

Now multiplying the highest exponent prime factors to calculate the LCM of 9670 and 9684.

LCM(9670,9684) = 22 × 51 × 9671 × 32 × 2691
LCM(9670,9684) = 46822140