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What is the Least Common Multiple of 9693 and 9701?

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 9693 and 9701 is 94031793.

LCM(9693,9701) = 94031793

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Least Common Multiple of 9693 and 9701 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9693 and 9701, than apply into the LCM equation.

GCF(9693,9701) = 1
LCM(9693,9701) = ( 9693 × 9701) / 1
LCM(9693,9701) = 94031793 / 1
LCM(9693,9701) = 94031793

Least Common Multiple (LCM) of 9693 and 9701 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 9693 and 9701. First we will calculate the prime factors of 9693 and 9701.

Prime Factorization of 9693

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

9693 = 33 × 3591

Prime Factorization of 9701

Prime factors of 9701 are 89, 109. Prime factorization of 9701 in exponential form is:

9701 = 891 × 1091

Now multiplying the highest exponent prime factors to calculate the LCM of 9693 and 9701.

LCM(9693,9701) = 33 × 3591 × 891 × 1091
LCM(9693,9701) = 94031793