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What is the Least Common Multiple of 29401 and 29421?

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 29401 and 29421 is 865006821.

LCM(29401,29421) = 865006821

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Least Common Multiple of 29401 and 29421 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 29401 and 29421, than apply into the LCM equation.

GCF(29401,29421) = 1
LCM(29401,29421) = ( 29401 × 29421) / 1
LCM(29401,29421) = 865006821 / 1
LCM(29401,29421) = 865006821

Least Common Multiple (LCM) of 29401 and 29421 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29401 and 29421. First we will calculate the prime factors of 29401 and 29421.

Prime Factorization of 29401

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

29401 = 294011

Prime Factorization of 29421

Prime factors of 29421 are 3, 7, 467. Prime factorization of 29421 in exponential form is:

29421 = 32 × 71 × 4671

Now multiplying the highest exponent prime factors to calculate the LCM of 29401 and 29421.

LCM(29401,29421) = 294011 × 32 × 71 × 4671
LCM(29401,29421) = 865006821