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What is the Least Common Multiple of 10576 and 10585?

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 10576 and 10585 is 111946960.

LCM(10576,10585) = 111946960

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Least Common Multiple of 10576 and 10585 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10576 and 10585, than apply into the LCM equation.

GCF(10576,10585) = 1
LCM(10576,10585) = ( 10576 × 10585) / 1
LCM(10576,10585) = 111946960 / 1
LCM(10576,10585) = 111946960

Least Common Multiple (LCM) of 10576 and 10585 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 10576 and 10585. First we will calculate the prime factors of 10576 and 10585.

Prime Factorization of 10576

Prime factors of 10576 are 2, 661. Prime factorization of 10576 in exponential form is:

10576 = 24 × 6611

Prime Factorization of 10585

Prime factors of 10585 are 5, 29, 73. Prime factorization of 10585 in exponential form is:

10585 = 51 × 291 × 731

Now multiplying the highest exponent prime factors to calculate the LCM of 10576 and 10585.

LCM(10576,10585) = 24 × 6611 × 51 × 291 × 731
LCM(10576,10585) = 111946960