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What is the Least Common Multiple of 29433 and 29444?

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 29433 and 29444 is 866625252.

LCM(29433,29444) = 866625252

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Least Common Multiple of 29433 and 29444 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 29433 and 29444, than apply into the LCM equation.

GCF(29433,29444) = 1
LCM(29433,29444) = ( 29433 × 29444) / 1
LCM(29433,29444) = 866625252 / 1
LCM(29433,29444) = 866625252

Least Common Multiple (LCM) of 29433 and 29444 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29433 and 29444. First we will calculate the prime factors of 29433 and 29444.

Prime Factorization of 29433

Prime factors of 29433 are 3, 9811. Prime factorization of 29433 in exponential form is:

29433 = 31 × 98111

Prime Factorization of 29444

Prime factors of 29444 are 2, 17, 433. Prime factorization of 29444 in exponential form is:

29444 = 22 × 171 × 4331

Now multiplying the highest exponent prime factors to calculate the LCM of 29433 and 29444.

LCM(29433,29444) = 31 × 98111 × 22 × 171 × 4331
LCM(29433,29444) = 866625252