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What is the Least Common Multiple of 15860 and 15876?

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 15876 is 62948340.

LCM(15860,15876) = 62948340

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Least Common Multiple of 15860 and 15876 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 15876, than apply into the LCM equation.

GCF(15860,15876) = 4
LCM(15860,15876) = ( 15860 × 15876) / 4
LCM(15860,15876) = 251793360 / 4
LCM(15860,15876) = 62948340

Least Common Multiple (LCM) of 15860 and 15876 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 15860 and 15876. First we will calculate the prime factors of 15860 and 15876.

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 15876

Prime factors of 15876 are 2, 3, 7. Prime factorization of 15876 in exponential form is:

15876 = 22 × 34 × 72

Now multiplying the highest exponent prime factors to calculate the LCM of 15860 and 15876.

LCM(15860,15876) = 22 × 51 × 131 × 611 × 34 × 72
LCM(15860,15876) = 62948340