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What is the Least Common Multiple of 15906 and 15912?

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 15906 and 15912 is 42182712.

LCM(15906,15912) = 42182712

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Least Common Multiple of 15906 and 15912 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 15906 and 15912, than apply into the LCM equation.

GCF(15906,15912) = 6
LCM(15906,15912) = ( 15906 × 15912) / 6
LCM(15906,15912) = 253096272 / 6
LCM(15906,15912) = 42182712

Least Common Multiple (LCM) of 15906 and 15912 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 15906 and 15912. First we will calculate the prime factors of 15906 and 15912.

Prime Factorization of 15906

Prime factors of 15906 are 2, 3, 11, 241. Prime factorization of 15906 in exponential form is:

15906 = 21 × 31 × 111 × 2411

Prime Factorization of 15912

Prime factors of 15912 are 2, 3, 13, 17. Prime factorization of 15912 in exponential form is:

15912 = 23 × 32 × 131 × 171

Now multiplying the highest exponent prime factors to calculate the LCM of 15906 and 15912.

LCM(15906,15912) = 23 × 32 × 111 × 2411 × 131 × 171
LCM(15906,15912) = 42182712