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What is the Least Common Multiple of 9734 and 9743?

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 9734 and 9743 is 94838362.

LCM(9734,9743) = 94838362

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Least Common Multiple of 9734 and 9743 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9734 and 9743, than apply into the LCM equation.

GCF(9734,9743) = 1
LCM(9734,9743) = ( 9734 × 9743) / 1
LCM(9734,9743) = 94838362 / 1
LCM(9734,9743) = 94838362

Least Common Multiple (LCM) of 9734 and 9743 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 9734 and 9743. First we will calculate the prime factors of 9734 and 9743.

Prime Factorization of 9734

Prime factors of 9734 are 2, 31, 157. Prime factorization of 9734 in exponential form is:

9734 = 21 × 311 × 1571

Prime Factorization of 9743

Prime factors of 9743 are 9743. Prime factorization of 9743 in exponential form is:

9743 = 97431

Now multiplying the highest exponent prime factors to calculate the LCM of 9734 and 9743.

LCM(9734,9743) = 21 × 311 × 1571 × 97431
LCM(9734,9743) = 94838362