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What is the Least Common Multiple of 9758 and 9771?

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 9758 and 9771 is 95345418.

LCM(9758,9771) = 95345418

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Least Common Multiple of 9758 and 9771 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9758 and 9771, than apply into the LCM equation.

GCF(9758,9771) = 1
LCM(9758,9771) = ( 9758 × 9771) / 1
LCM(9758,9771) = 95345418 / 1
LCM(9758,9771) = 95345418

Least Common Multiple (LCM) of 9758 and 9771 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 9758 and 9771. First we will calculate the prime factors of 9758 and 9771.

Prime Factorization of 9758

Prime factors of 9758 are 2, 7, 17, 41. Prime factorization of 9758 in exponential form is:

9758 = 21 × 71 × 171 × 411

Prime Factorization of 9771

Prime factors of 9771 are 3, 3257. Prime factorization of 9771 in exponential form is:

9771 = 31 × 32571

Now multiplying the highest exponent prime factors to calculate the LCM of 9758 and 9771.

LCM(9758,9771) = 21 × 71 × 171 × 411 × 31 × 32571
LCM(9758,9771) = 95345418