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What is the Least Common Multiple of 15905 and 15910?

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 15905 and 15910 is 50609710.

LCM(15905,15910) = 50609710

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Least Common Multiple of 15905 and 15910 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 15905 and 15910, than apply into the LCM equation.

GCF(15905,15910) = 5
LCM(15905,15910) = ( 15905 × 15910) / 5
LCM(15905,15910) = 253048550 / 5
LCM(15905,15910) = 50609710

Least Common Multiple (LCM) of 15905 and 15910 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 15905 and 15910. First we will calculate the prime factors of 15905 and 15910.

Prime Factorization of 15905

Prime factors of 15905 are 5, 3181. Prime factorization of 15905 in exponential form is:

15905 = 51 × 31811

Prime Factorization of 15910

Prime factors of 15910 are 2, 5, 37, 43. Prime factorization of 15910 in exponential form is:

15910 = 21 × 51 × 371 × 431

Now multiplying the highest exponent prime factors to calculate the LCM of 15905 and 15910.

LCM(15905,15910) = 51 × 31811 × 21 × 371 × 431
LCM(15905,15910) = 50609710