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What is the Least Common Multiple of 9656 and 9675?

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 9656 and 9675 is 93421800.

LCM(9656,9675) = 93421800

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Least Common Multiple of 9656 and 9675 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9656 and 9675, than apply into the LCM equation.

GCF(9656,9675) = 1
LCM(9656,9675) = ( 9656 × 9675) / 1
LCM(9656,9675) = 93421800 / 1
LCM(9656,9675) = 93421800

Least Common Multiple (LCM) of 9656 and 9675 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 9656 and 9675. First we will calculate the prime factors of 9656 and 9675.

Prime Factorization of 9656

Prime factors of 9656 are 2, 17, 71. Prime factorization of 9656 in exponential form is:

9656 = 23 × 171 × 711

Prime Factorization of 9675

Prime factors of 9675 are 3, 5, 43. Prime factorization of 9675 in exponential form is:

9675 = 32 × 52 × 431

Now multiplying the highest exponent prime factors to calculate the LCM of 9656 and 9675.

LCM(9656,9675) = 23 × 171 × 711 × 32 × 52 × 431
LCM(9656,9675) = 93421800