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What is the Least Common Multiple of 9688 and 9693?

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 9688 and 9693 is 93905784.

LCM(9688,9693) = 93905784

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Least Common Multiple of 9688 and 9693 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9688 and 9693, than apply into the LCM equation.

GCF(9688,9693) = 1
LCM(9688,9693) = ( 9688 × 9693) / 1
LCM(9688,9693) = 93905784 / 1
LCM(9688,9693) = 93905784

Least Common Multiple (LCM) of 9688 and 9693 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 9688 and 9693. First we will calculate the prime factors of 9688 and 9693.

Prime Factorization of 9688

Prime factors of 9688 are 2, 7, 173. Prime factorization of 9688 in exponential form is:

9688 = 23 × 71 × 1731

Prime Factorization of 9693

Prime factors of 9693 are 3, 359. Prime factorization of 9693 in exponential form is:

9693 = 33 × 3591

Now multiplying the highest exponent prime factors to calculate the LCM of 9688 and 9693.

LCM(9688,9693) = 23 × 71 × 1731 × 33 × 3591
LCM(9688,9693) = 93905784