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What is the Least Common Multiple of 15928 and 15934?

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 15928 and 15934 is 126898376.

LCM(15928,15934) = 126898376

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Least Common Multiple of 15928 and 15934 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 15928 and 15934, than apply into the LCM equation.

GCF(15928,15934) = 2
LCM(15928,15934) = ( 15928 × 15934) / 2
LCM(15928,15934) = 253796752 / 2
LCM(15928,15934) = 126898376

Least Common Multiple (LCM) of 15928 and 15934 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 15928 and 15934. First we will calculate the prime factors of 15928 and 15934.

Prime Factorization of 15928

Prime factors of 15928 are 2, 11, 181. Prime factorization of 15928 in exponential form is:

15928 = 23 × 111 × 1811

Prime Factorization of 15934

Prime factors of 15934 are 2, 31, 257. Prime factorization of 15934 in exponential form is:

15934 = 21 × 311 × 2571

Now multiplying the highest exponent prime factors to calculate the LCM of 15928 and 15934.

LCM(15928,15934) = 23 × 111 × 1811 × 311 × 2571
LCM(15928,15934) = 126898376