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What is the Least Common Multiple of 15892 and 15905?

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 15892 and 15905 is 252762260.

LCM(15892,15905) = 252762260

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Least Common Multiple of 15892 and 15905 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 15892 and 15905, than apply into the LCM equation.

GCF(15892,15905) = 1
LCM(15892,15905) = ( 15892 × 15905) / 1
LCM(15892,15905) = 252762260 / 1
LCM(15892,15905) = 252762260

Least Common Multiple (LCM) of 15892 and 15905 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 15892 and 15905. First we will calculate the prime factors of 15892 and 15905.

Prime Factorization of 15892

Prime factors of 15892 are 2, 29, 137. Prime factorization of 15892 in exponential form is:

15892 = 22 × 291 × 1371

Prime Factorization of 15905

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

15905 = 51 × 31811

Now multiplying the highest exponent prime factors to calculate the LCM of 15892 and 15905.

LCM(15892,15905) = 22 × 291 × 1371 × 51 × 31811
LCM(15892,15905) = 252762260