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What is the Least Common Multiple of 9688 and 9698?

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 9698 is 46977112.

LCM(9688,9698) = 46977112

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Least Common Multiple of 9688 and 9698 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 9698, than apply into the LCM equation.

GCF(9688,9698) = 2
LCM(9688,9698) = ( 9688 × 9698) / 2
LCM(9688,9698) = 93954224 / 2
LCM(9688,9698) = 46977112

Least Common Multiple (LCM) of 9688 and 9698 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 9688 and 9698. First we will calculate the prime factors of 9688 and 9698.

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 9698

Prime factors of 9698 are 2, 13, 373. Prime factorization of 9698 in exponential form is:

9698 = 21 × 131 × 3731

Now multiplying the highest exponent prime factors to calculate the LCM of 9688 and 9698.

LCM(9688,9698) = 23 × 71 × 1731 × 131 × 3731
LCM(9688,9698) = 46977112