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What is the Least Common Multiple of 41383 and 41390?

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 41383 and 41390 is 1712842370.

LCM(41383,41390) = 1712842370

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Least Common Multiple of 41383 and 41390 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 41383 and 41390, than apply into the LCM equation.

GCF(41383,41390) = 1
LCM(41383,41390) = ( 41383 × 41390) / 1
LCM(41383,41390) = 1712842370 / 1
LCM(41383,41390) = 1712842370

Least Common Multiple (LCM) of 41383 and 41390 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 41383 and 41390. First we will calculate the prime factors of 41383 and 41390.

Prime Factorization of 41383

Prime factors of 41383 are 29, 1427. Prime factorization of 41383 in exponential form is:

41383 = 291 × 14271

Prime Factorization of 41390

Prime factors of 41390 are 2, 5, 4139. Prime factorization of 41390 in exponential form is:

41390 = 21 × 51 × 41391

Now multiplying the highest exponent prime factors to calculate the LCM of 41383 and 41390.

LCM(41383,41390) = 291 × 14271 × 21 × 51 × 41391
LCM(41383,41390) = 1712842370