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What is the Least Common Multiple of 15611 and 15623?

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 15611 and 15623 is 243890653.

LCM(15611,15623) = 243890653

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Least Common Multiple of 15611 and 15623 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 15611 and 15623, than apply into the LCM equation.

GCF(15611,15623) = 1
LCM(15611,15623) = ( 15611 × 15623) / 1
LCM(15611,15623) = 243890653 / 1
LCM(15611,15623) = 243890653

Least Common Multiple (LCM) of 15611 and 15623 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 15611 and 15623. First we will calculate the prime factors of 15611 and 15623.

Prime Factorization of 15611

Prime factors of 15611 are 67, 233. Prime factorization of 15611 in exponential form is:

15611 = 671 × 2331

Prime Factorization of 15623

Prime factors of 15623 are 17, 919. Prime factorization of 15623 in exponential form is:

15623 = 171 × 9191

Now multiplying the highest exponent prime factors to calculate the LCM of 15611 and 15623.

LCM(15611,15623) = 671 × 2331 × 171 × 9191
LCM(15611,15623) = 243890653