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What is the Least Common Multiple of 41389 and 41409?

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 41409 is 1713877101.

LCM(41389,41409) = 1713877101

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Least Common Multiple of 41389 and 41409 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 41409, than apply into the LCM equation.

GCF(41389,41409) = 1
LCM(41389,41409) = ( 41389 × 41409) / 1
LCM(41389,41409) = 1713877101 / 1
LCM(41389,41409) = 1713877101

Least Common Multiple (LCM) of 41389 and 41409 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 41389 and 41409. First we will calculate the prime factors of 41389 and 41409.

Prime Factorization of 41389

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

41389 = 413891

Prime Factorization of 41409

Prime factors of 41409 are 3, 43, 107. Prime factorization of 41409 in exponential form is:

41409 = 32 × 431 × 1071

Now multiplying the highest exponent prime factors to calculate the LCM of 41389 and 41409.

LCM(41389,41409) = 413891 × 32 × 431 × 1071
LCM(41389,41409) = 1713877101