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What is the Least Common Multiple of 35057 and 35071?

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 35057 and 35071 is 1229484047.

LCM(35057,35071) = 1229484047

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Least Common Multiple of 35057 and 35071 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 35057 and 35071, than apply into the LCM equation.

GCF(35057,35071) = 1
LCM(35057,35071) = ( 35057 × 35071) / 1
LCM(35057,35071) = 1229484047 / 1
LCM(35057,35071) = 1229484047

Least Common Multiple (LCM) of 35057 and 35071 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 35057 and 35071. First we will calculate the prime factors of 35057 and 35071.

Prime Factorization of 35057

Prime factors of 35057 are 11, 3187. Prime factorization of 35057 in exponential form is:

35057 = 111 × 31871

Prime Factorization of 35071

Prime factors of 35071 are 17, 2063. Prime factorization of 35071 in exponential form is:

35071 = 171 × 20631

Now multiplying the highest exponent prime factors to calculate the LCM of 35057 and 35071.

LCM(35057,35071) = 111 × 31871 × 171 × 20631
LCM(35057,35071) = 1229484047