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What is the Least Common Multiple of 41703 and 41711?

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 41703 and 41711 is 1739473833.

LCM(41703,41711) = 1739473833

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Least Common Multiple of 41703 and 41711 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 41703 and 41711, than apply into the LCM equation.

GCF(41703,41711) = 1
LCM(41703,41711) = ( 41703 × 41711) / 1
LCM(41703,41711) = 1739473833 / 1
LCM(41703,41711) = 1739473833

Least Common Multiple (LCM) of 41703 and 41711 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 41703 and 41711. First we will calculate the prime factors of 41703 and 41711.

Prime Factorization of 41703

Prime factors of 41703 are 3, 13901. Prime factorization of 41703 in exponential form is:

41703 = 31 × 139011

Prime Factorization of 41711

Prime factors of 41711 are 53, 787. Prime factorization of 41711 in exponential form is:

41711 = 531 × 7871

Now multiplying the highest exponent prime factors to calculate the LCM of 41703 and 41711.

LCM(41703,41711) = 31 × 139011 × 531 × 7871
LCM(41703,41711) = 1739473833