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What is the Least Common Multiple of 11559 and 11575?

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 11559 and 11575 is 133795425.

LCM(11559,11575) = 133795425

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Least Common Multiple of 11559 and 11575 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11559 and 11575, than apply into the LCM equation.

GCF(11559,11575) = 1
LCM(11559,11575) = ( 11559 × 11575) / 1
LCM(11559,11575) = 133795425 / 1
LCM(11559,11575) = 133795425

Least Common Multiple (LCM) of 11559 and 11575 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11559 and 11575. First we will calculate the prime factors of 11559 and 11575.

Prime Factorization of 11559

Prime factors of 11559 are 3, 3853. Prime factorization of 11559 in exponential form is:

11559 = 31 × 38531

Prime Factorization of 11575

Prime factors of 11575 are 5, 463. Prime factorization of 11575 in exponential form is:

11575 = 52 × 4631

Now multiplying the highest exponent prime factors to calculate the LCM of 11559 and 11575.

LCM(11559,11575) = 31 × 38531 × 52 × 4631
LCM(11559,11575) = 133795425