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What is the Least Common Multiple of 29383 and 29401?

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 29383 and 29401 is 863889583.

LCM(29383,29401) = 863889583

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Least Common Multiple of 29383 and 29401 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 29383 and 29401, than apply into the LCM equation.

GCF(29383,29401) = 1
LCM(29383,29401) = ( 29383 × 29401) / 1
LCM(29383,29401) = 863889583 / 1
LCM(29383,29401) = 863889583

Least Common Multiple (LCM) of 29383 and 29401 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29383 and 29401. First we will calculate the prime factors of 29383 and 29401.

Prime Factorization of 29383

Prime factors of 29383 are 29383. Prime factorization of 29383 in exponential form is:

29383 = 293831

Prime Factorization of 29401

Prime factors of 29401 are 29401. Prime factorization of 29401 in exponential form is:

29401 = 294011

Now multiplying the highest exponent prime factors to calculate the LCM of 29383 and 29401.

LCM(29383,29401) = 293831 × 294011
LCM(29383,29401) = 863889583