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What is the Least Common Multiple of 15599 and 15611?

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 15599 and 15611 is 243515989.

LCM(15599,15611) = 243515989

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Least Common Multiple of 15599 and 15611 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 15599 and 15611, than apply into the LCM equation.

GCF(15599,15611) = 1
LCM(15599,15611) = ( 15599 × 15611) / 1
LCM(15599,15611) = 243515989 / 1
LCM(15599,15611) = 243515989

Least Common Multiple (LCM) of 15599 and 15611 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 15599 and 15611. First we will calculate the prime factors of 15599 and 15611.

Prime Factorization of 15599

Prime factors of 15599 are 19, 821. Prime factorization of 15599 in exponential form is:

15599 = 191 × 8211

Prime Factorization of 15611

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

15611 = 671 × 2331

Now multiplying the highest exponent prime factors to calculate the LCM of 15599 and 15611.

LCM(15599,15611) = 191 × 8211 × 671 × 2331
LCM(15599,15611) = 243515989