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What is the Least Common Multiple of 9658 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 9658 and 9675 is 93441150.

LCM(9658,9675) = 93441150

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Least Common Multiple of 9658 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 9658 and 9675, than apply into the LCM equation.

GCF(9658,9675) = 1
LCM(9658,9675) = ( 9658 × 9675) / 1
LCM(9658,9675) = 93441150 / 1
LCM(9658,9675) = 93441150

Least Common Multiple (LCM) of 9658 and 9675 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 9658 and 9675. First we will calculate the prime factors of 9658 and 9675.

Prime Factorization of 9658

Prime factors of 9658 are 2, 11, 439. Prime factorization of 9658 in exponential form is:

9658 = 21 × 111 × 4391

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 9658 and 9675.

LCM(9658,9675) = 21 × 111 × 4391 × 32 × 52 × 431
LCM(9658,9675) = 93441150