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What is the Least Common Multiple of 41389 and 41401?

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 41389 and 41401 is 1713545989.

LCM(41389,41401) = 1713545989

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Least Common Multiple of 41389 and 41401 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 41389 and 41401, than apply into the LCM equation.

GCF(41389,41401) = 1
LCM(41389,41401) = ( 41389 × 41401) / 1
LCM(41389,41401) = 1713545989 / 1
LCM(41389,41401) = 1713545989

Least Common Multiple (LCM) of 41389 and 41401 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 41389 and 41401. First we will calculate the prime factors of 41389 and 41401.

Prime Factorization of 41389

Prime factors of 41389 are 41389. Prime factorization of 41389 in exponential form is:

41389 = 413891

Prime Factorization of 41401

Prime factors of 41401 are 19, 2179. Prime factorization of 41401 in exponential form is:

41401 = 191 × 21791

Now multiplying the highest exponent prime factors to calculate the LCM of 41389 and 41401.

LCM(41389,41401) = 413891 × 191 × 21791
LCM(41389,41401) = 1713545989