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What is the Least Common Multiple of 9579 and 9592?

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 9579 and 9592 is 91881768.

LCM(9579,9592) = 91881768

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Least Common Multiple of 9579 and 9592 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9579 and 9592, than apply into the LCM equation.

GCF(9579,9592) = 1
LCM(9579,9592) = ( 9579 × 9592) / 1
LCM(9579,9592) = 91881768 / 1
LCM(9579,9592) = 91881768

Least Common Multiple (LCM) of 9579 and 9592 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 9579 and 9592. First we will calculate the prime factors of 9579 and 9592.

Prime Factorization of 9579

Prime factors of 9579 are 3, 31, 103. Prime factorization of 9579 in exponential form is:

9579 = 31 × 311 × 1031

Prime Factorization of 9592

Prime factors of 9592 are 2, 11, 109. Prime factorization of 9592 in exponential form is:

9592 = 23 × 111 × 1091

Now multiplying the highest exponent prime factors to calculate the LCM of 9579 and 9592.

LCM(9579,9592) = 31 × 311 × 1031 × 23 × 111 × 1091
LCM(9579,9592) = 91881768