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What is the Least Common Multiple of 11595 and 11607?

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 11595 and 11607 is 44861055.

LCM(11595,11607) = 44861055

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Least Common Multiple of 11595 and 11607 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11595 and 11607, than apply into the LCM equation.

GCF(11595,11607) = 3
LCM(11595,11607) = ( 11595 × 11607) / 3
LCM(11595,11607) = 134583165 / 3
LCM(11595,11607) = 44861055

Least Common Multiple (LCM) of 11595 and 11607 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11595 and 11607. First we will calculate the prime factors of 11595 and 11607.

Prime Factorization of 11595

Prime factors of 11595 are 3, 5, 773. Prime factorization of 11595 in exponential form is:

11595 = 31 × 51 × 7731

Prime Factorization of 11607

Prime factors of 11607 are 3, 53, 73. Prime factorization of 11607 in exponential form is:

11607 = 31 × 531 × 731

Now multiplying the highest exponent prime factors to calculate the LCM of 11595 and 11607.

LCM(11595,11607) = 31 × 51 × 7731 × 531 × 731
LCM(11595,11607) = 44861055