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What is the Least Common Multiple of 9769 and 9784?

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 9769 and 9784 is 95579896.

LCM(9769,9784) = 95579896

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Least Common Multiple of 9769 and 9784 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9769 and 9784, than apply into the LCM equation.

GCF(9769,9784) = 1
LCM(9769,9784) = ( 9769 × 9784) / 1
LCM(9769,9784) = 95579896 / 1
LCM(9769,9784) = 95579896

Least Common Multiple (LCM) of 9769 and 9784 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 9769 and 9784. First we will calculate the prime factors of 9769 and 9784.

Prime Factorization of 9769

Prime factors of 9769 are 9769. Prime factorization of 9769 in exponential form is:

9769 = 97691

Prime Factorization of 9784

Prime factors of 9784 are 2, 1223. Prime factorization of 9784 in exponential form is:

9784 = 23 × 12231

Now multiplying the highest exponent prime factors to calculate the LCM of 9769 and 9784.

LCM(9769,9784) = 97691 × 23 × 12231
LCM(9769,9784) = 95579896