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What is the Least Common Multiple of 9713 and 9731?

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 9713 and 9731 is 94517203.

LCM(9713,9731) = 94517203

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Least Common Multiple of 9713 and 9731 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9713 and 9731, than apply into the LCM equation.

GCF(9713,9731) = 1
LCM(9713,9731) = ( 9713 × 9731) / 1
LCM(9713,9731) = 94517203 / 1
LCM(9713,9731) = 94517203

Least Common Multiple (LCM) of 9713 and 9731 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 9713 and 9731. First we will calculate the prime factors of 9713 and 9731.

Prime Factorization of 9713

Prime factors of 9713 are 11, 883. Prime factorization of 9713 in exponential form is:

9713 = 111 × 8831

Prime Factorization of 9731

Prime factors of 9731 are 37, 263. Prime factorization of 9731 in exponential form is:

9731 = 371 × 2631

Now multiplying the highest exponent prime factors to calculate the LCM of 9713 and 9731.

LCM(9713,9731) = 111 × 8831 × 371 × 2631
LCM(9713,9731) = 94517203