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What is the Least Common Multiple of 11619 and 11635?

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 11619 and 11635 is 135187065.

LCM(11619,11635) = 135187065

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Least Common Multiple of 11619 and 11635 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11619 and 11635, than apply into the LCM equation.

GCF(11619,11635) = 1
LCM(11619,11635) = ( 11619 × 11635) / 1
LCM(11619,11635) = 135187065 / 1
LCM(11619,11635) = 135187065

Least Common Multiple (LCM) of 11619 and 11635 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11619 and 11635. First we will calculate the prime factors of 11619 and 11635.

Prime Factorization of 11619

Prime factors of 11619 are 3, 1291. Prime factorization of 11619 in exponential form is:

11619 = 32 × 12911

Prime Factorization of 11635

Prime factors of 11635 are 5, 13, 179. Prime factorization of 11635 in exponential form is:

11635 = 51 × 131 × 1791

Now multiplying the highest exponent prime factors to calculate the LCM of 11619 and 11635.

LCM(11619,11635) = 32 × 12911 × 51 × 131 × 1791
LCM(11619,11635) = 135187065