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What is the Least Common Multiple of 9694 and 9704?

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 9694 and 9704 is 47035288.

LCM(9694,9704) = 47035288

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Least Common Multiple of 9694 and 9704 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9694 and 9704, than apply into the LCM equation.

GCF(9694,9704) = 2
LCM(9694,9704) = ( 9694 × 9704) / 2
LCM(9694,9704) = 94070576 / 2
LCM(9694,9704) = 47035288

Least Common Multiple (LCM) of 9694 and 9704 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 9694 and 9704. First we will calculate the prime factors of 9694 and 9704.

Prime Factorization of 9694

Prime factors of 9694 are 2, 37, 131. Prime factorization of 9694 in exponential form is:

9694 = 21 × 371 × 1311

Prime Factorization of 9704

Prime factors of 9704 are 2, 1213. Prime factorization of 9704 in exponential form is:

9704 = 23 × 12131

Now multiplying the highest exponent prime factors to calculate the LCM of 9694 and 9704.

LCM(9694,9704) = 23 × 371 × 1311 × 12131
LCM(9694,9704) = 47035288