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What is the Least Common Multiple of 95783 and 95791?

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 95783 and 95791 is 9175149353.

LCM(95783,95791) = 9175149353

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Least Common Multiple of 95783 and 95791 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95783 and 95791, than apply into the LCM equation.

GCF(95783,95791) = 1
LCM(95783,95791) = ( 95783 × 95791) / 1
LCM(95783,95791) = 9175149353 / 1
LCM(95783,95791) = 9175149353

Least Common Multiple (LCM) of 95783 and 95791 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95783 and 95791. First we will calculate the prime factors of 95783 and 95791.

Prime Factorization of 95783

Prime factors of 95783 are 95783. Prime factorization of 95783 in exponential form is:

95783 = 957831

Prime Factorization of 95791

Prime factors of 95791 are 95791. Prime factorization of 95791 in exponential form is:

95791 = 957911

Now multiplying the highest exponent prime factors to calculate the LCM of 95783 and 95791.

LCM(95783,95791) = 957831 × 957911
LCM(95783,95791) = 9175149353