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What is the Least Common Multiple of 15851 and 15871?

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 15851 and 15871 is 251571221.

LCM(15851,15871) = 251571221

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Least Common Multiple of 15851 and 15871 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 15851 and 15871, than apply into the LCM equation.

GCF(15851,15871) = 1
LCM(15851,15871) = ( 15851 × 15871) / 1
LCM(15851,15871) = 251571221 / 1
LCM(15851,15871) = 251571221

Least Common Multiple (LCM) of 15851 and 15871 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 15851 and 15871. First we will calculate the prime factors of 15851 and 15871.

Prime Factorization of 15851

Prime factors of 15851 are 11, 131. Prime factorization of 15851 in exponential form is:

15851 = 112 × 1311

Prime Factorization of 15871

Prime factors of 15871 are 59, 269. Prime factorization of 15871 in exponential form is:

15871 = 591 × 2691

Now multiplying the highest exponent prime factors to calculate the LCM of 15851 and 15871.

LCM(15851,15871) = 112 × 1311 × 591 × 2691
LCM(15851,15871) = 251571221