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What is the Least Common Multiple of 15721 and 15737?

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 15721 and 15737 is 247401377.

LCM(15721,15737) = 247401377

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Least Common Multiple of 15721 and 15737 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 15721 and 15737, than apply into the LCM equation.

GCF(15721,15737) = 1
LCM(15721,15737) = ( 15721 × 15737) / 1
LCM(15721,15737) = 247401377 / 1
LCM(15721,15737) = 247401377

Least Common Multiple (LCM) of 15721 and 15737 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 15721 and 15737. First we will calculate the prime factors of 15721 and 15737.

Prime Factorization of 15721

Prime factors of 15721 are 79, 199. Prime factorization of 15721 in exponential form is:

15721 = 791 × 1991

Prime Factorization of 15737

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

15737 = 157371

Now multiplying the highest exponent prime factors to calculate the LCM of 15721 and 15737.

LCM(15721,15737) = 791 × 1991 × 157371
LCM(15721,15737) = 247401377