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What is the Least Common Multiple of 15737 and 15743?

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 15737 and 15743 is 247747591.

LCM(15737,15743) = 247747591

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Least Common Multiple of 15737 and 15743 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 15737 and 15743, than apply into the LCM equation.

GCF(15737,15743) = 1
LCM(15737,15743) = ( 15737 × 15743) / 1
LCM(15737,15743) = 247747591 / 1
LCM(15737,15743) = 247747591

Least Common Multiple (LCM) of 15737 and 15743 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 15737 and 15743. First we will calculate the prime factors of 15737 and 15743.

Prime Factorization of 15737

Prime factors of 15737 are 15737. Prime factorization of 15737 in exponential form is:

15737 = 157371

Prime Factorization of 15743

Prime factors of 15743 are 7, 13, 173. Prime factorization of 15743 in exponential form is:

15743 = 71 × 131 × 1731

Now multiplying the highest exponent prime factors to calculate the LCM of 15737 and 15743.

LCM(15737,15743) = 157371 × 71 × 131 × 1731
LCM(15737,15743) = 247747591