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What is the Least Common Multiple of 29444 and 29456?

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 29444 and 29456 is 216825616.

LCM(29444,29456) = 216825616

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Least Common Multiple of 29444 and 29456 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 29444 and 29456, than apply into the LCM equation.

GCF(29444,29456) = 4
LCM(29444,29456) = ( 29444 × 29456) / 4
LCM(29444,29456) = 867302464 / 4
LCM(29444,29456) = 216825616

Least Common Multiple (LCM) of 29444 and 29456 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29444 and 29456. First we will calculate the prime factors of 29444 and 29456.

Prime Factorization of 29444

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

29444 = 22 × 171 × 4331

Prime Factorization of 29456

Prime factors of 29456 are 2, 7, 263. Prime factorization of 29456 in exponential form is:

29456 = 24 × 71 × 2631

Now multiplying the highest exponent prime factors to calculate the LCM of 29444 and 29456.

LCM(29444,29456) = 24 × 171 × 4331 × 71 × 2631
LCM(29444,29456) = 216825616