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What is the Least Common Multiple of 55714 and 55731?

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 55714 and 55731 is 3104996934.

LCM(55714,55731) = 3104996934

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Least Common Multiple of 55714 and 55731 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55714 and 55731, than apply into the LCM equation.

GCF(55714,55731) = 1
LCM(55714,55731) = ( 55714 × 55731) / 1
LCM(55714,55731) = 3104996934 / 1
LCM(55714,55731) = 3104996934

Least Common Multiple (LCM) of 55714 and 55731 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55714 and 55731. First we will calculate the prime factors of 55714 and 55731.

Prime Factorization of 55714

Prime factors of 55714 are 2, 89, 313. Prime factorization of 55714 in exponential form is:

55714 = 21 × 891 × 3131

Prime Factorization of 55731

Prime factors of 55731 are 3, 13, 1429. Prime factorization of 55731 in exponential form is:

55731 = 31 × 131 × 14291

Now multiplying the highest exponent prime factors to calculate the LCM of 55714 and 55731.

LCM(55714,55731) = 21 × 891 × 3131 × 31 × 131 × 14291
LCM(55714,55731) = 3104996934