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What is the Least Common Multiple of 15891 and 15909?

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 15891 and 15909 is 84269973.

LCM(15891,15909) = 84269973

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Least Common Multiple of 15891 and 15909 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 15891 and 15909, than apply into the LCM equation.

GCF(15891,15909) = 3
LCM(15891,15909) = ( 15891 × 15909) / 3
LCM(15891,15909) = 252809919 / 3
LCM(15891,15909) = 84269973

Least Common Multiple (LCM) of 15891 and 15909 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 15891 and 15909. First we will calculate the prime factors of 15891 and 15909.

Prime Factorization of 15891

Prime factors of 15891 are 3, 5297. Prime factorization of 15891 in exponential form is:

15891 = 31 × 52971

Prime Factorization of 15909

Prime factors of 15909 are 3, 5303. Prime factorization of 15909 in exponential form is:

15909 = 31 × 53031

Now multiplying the highest exponent prime factors to calculate the LCM of 15891 and 15909.

LCM(15891,15909) = 31 × 52971 × 53031
LCM(15891,15909) = 84269973