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What is the Least Common Multiple of 15860 and 15866?

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 15860 and 15866 is 125817380.

LCM(15860,15866) = 125817380

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Least Common Multiple of 15860 and 15866 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 15860 and 15866, than apply into the LCM equation.

GCF(15860,15866) = 2
LCM(15860,15866) = ( 15860 × 15866) / 2
LCM(15860,15866) = 251634760 / 2
LCM(15860,15866) = 125817380

Least Common Multiple (LCM) of 15860 and 15866 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 15860 and 15866. First we will calculate the prime factors of 15860 and 15866.

Prime Factorization of 15860

Prime factors of 15860 are 2, 5, 13, 61. Prime factorization of 15860 in exponential form is:

15860 = 22 × 51 × 131 × 611

Prime Factorization of 15866

Prime factors of 15866 are 2, 7933. Prime factorization of 15866 in exponential form is:

15866 = 21 × 79331

Now multiplying the highest exponent prime factors to calculate the LCM of 15860 and 15866.

LCM(15860,15866) = 22 × 51 × 131 × 611 × 79331
LCM(15860,15866) = 125817380