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What is the Least Common Multiple of 9699 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 9699 and 9704 is 94119096.

LCM(9699,9704) = 94119096

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Least Common Multiple of 9699 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 9699 and 9704, than apply into the LCM equation.

GCF(9699,9704) = 1
LCM(9699,9704) = ( 9699 × 9704) / 1
LCM(9699,9704) = 94119096 / 1
LCM(9699,9704) = 94119096

Least Common Multiple (LCM) of 9699 and 9704 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 9699 and 9704. First we will calculate the prime factors of 9699 and 9704.

Prime Factorization of 9699

Prime factors of 9699 are 3, 53, 61. Prime factorization of 9699 in exponential form is:

9699 = 31 × 531 × 611

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 9699 and 9704.

LCM(9699,9704) = 31 × 531 × 611 × 23 × 12131
LCM(9699,9704) = 94119096