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What is the Least Common Multiple of 57703 and 57710?

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 57703 and 57710 is 3330040130.

LCM(57703,57710) = 3330040130

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Least Common Multiple of 57703 and 57710 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 57703 and 57710, than apply into the LCM equation.

GCF(57703,57710) = 1
LCM(57703,57710) = ( 57703 × 57710) / 1
LCM(57703,57710) = 3330040130 / 1
LCM(57703,57710) = 3330040130

Least Common Multiple (LCM) of 57703 and 57710 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 57703 and 57710. First we will calculate the prime factors of 57703 and 57710.

Prime Factorization of 57703

Prime factors of 57703 are 19, 3037. Prime factorization of 57703 in exponential form is:

57703 = 191 × 30371

Prime Factorization of 57710

Prime factors of 57710 are 2, 5, 29, 199. Prime factorization of 57710 in exponential form is:

57710 = 21 × 51 × 291 × 1991

Now multiplying the highest exponent prime factors to calculate the LCM of 57703 and 57710.

LCM(57703,57710) = 191 × 30371 × 21 × 51 × 291 × 1991
LCM(57703,57710) = 3330040130