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What is the Least Common Multiple of 15599 and 15610?

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 15610 is 243500390.

LCM(15599,15610) = 243500390

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Least Common Multiple of 15599 and 15610 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 15610, than apply into the LCM equation.

GCF(15599,15610) = 1
LCM(15599,15610) = ( 15599 × 15610) / 1
LCM(15599,15610) = 243500390 / 1
LCM(15599,15610) = 243500390

Least Common Multiple (LCM) of 15599 and 15610 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 15599 and 15610. First we will calculate the prime factors of 15599 and 15610.

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 15610

Prime factors of 15610 are 2, 5, 7, 223. Prime factorization of 15610 in exponential form is:

15610 = 21 × 51 × 71 × 2231

Now multiplying the highest exponent prime factors to calculate the LCM of 15599 and 15610.

LCM(15599,15610) = 191 × 8211 × 21 × 51 × 71 × 2231
LCM(15599,15610) = 243500390