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What is the Least Common Multiple of 15928 and 15939?

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 15939 is 23079672.

LCM(15928,15939) = 23079672

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Least Common Multiple of 15928 and 15939 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 15939, than apply into the LCM equation.

GCF(15928,15939) = 11
LCM(15928,15939) = ( 15928 × 15939) / 11
LCM(15928,15939) = 253876392 / 11
LCM(15928,15939) = 23079672

Least Common Multiple (LCM) of 15928 and 15939 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 15928 and 15939. First we will calculate the prime factors of 15928 and 15939.

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 15939

Prime factors of 15939 are 3, 7, 11, 23. Prime factorization of 15939 in exponential form is:

15939 = 32 × 71 × 111 × 231

Now multiplying the highest exponent prime factors to calculate the LCM of 15928 and 15939.

LCM(15928,15939) = 23 × 111 × 1811 × 32 × 71 × 231
LCM(15928,15939) = 23079672