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What is the Least Common Multiple of 29412 and 29423?

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 29412 and 29423 is 865389276.

LCM(29412,29423) = 865389276

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Least Common Multiple of 29412 and 29423 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 29412 and 29423, than apply into the LCM equation.

GCF(29412,29423) = 1
LCM(29412,29423) = ( 29412 × 29423) / 1
LCM(29412,29423) = 865389276 / 1
LCM(29412,29423) = 865389276

Least Common Multiple (LCM) of 29412 and 29423 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29412 and 29423. First we will calculate the prime factors of 29412 and 29423.

Prime Factorization of 29412

Prime factors of 29412 are 2, 3, 19, 43. Prime factorization of 29412 in exponential form is:

29412 = 22 × 32 × 191 × 431

Prime Factorization of 29423

Prime factors of 29423 are 29423. Prime factorization of 29423 in exponential form is:

29423 = 294231

Now multiplying the highest exponent prime factors to calculate the LCM of 29412 and 29423.

LCM(29412,29423) = 22 × 32 × 191 × 431 × 294231
LCM(29412,29423) = 865389276