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What is the Least Common Multiple of 29243 and 29254?

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 29243 and 29254 is 855474722.

LCM(29243,29254) = 855474722

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Least Common Multiple of 29243 and 29254 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 29243 and 29254, than apply into the LCM equation.

GCF(29243,29254) = 1
LCM(29243,29254) = ( 29243 × 29254) / 1
LCM(29243,29254) = 855474722 / 1
LCM(29243,29254) = 855474722

Least Common Multiple (LCM) of 29243 and 29254 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29243 and 29254. First we will calculate the prime factors of 29243 and 29254.

Prime Factorization of 29243

Prime factors of 29243 are 29243. Prime factorization of 29243 in exponential form is:

29243 = 292431

Prime Factorization of 29254

Prime factors of 29254 are 2, 14627. Prime factorization of 29254 in exponential form is:

29254 = 21 × 146271

Now multiplying the highest exponent prime factors to calculate the LCM of 29243 and 29254.

LCM(29243,29254) = 292431 × 21 × 146271
LCM(29243,29254) = 855474722