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What is the Least Common Multiple of 44283 and 44294?

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 44283 and 44294 is 1961471202.

LCM(44283,44294) = 1961471202

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Least Common Multiple of 44283 and 44294 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 44283 and 44294, than apply into the LCM equation.

GCF(44283,44294) = 1
LCM(44283,44294) = ( 44283 × 44294) / 1
LCM(44283,44294) = 1961471202 / 1
LCM(44283,44294) = 1961471202

Least Common Multiple (LCM) of 44283 and 44294 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 44283 and 44294. First we will calculate the prime factors of 44283 and 44294.

Prime Factorization of 44283

Prime factors of 44283 are 3, 29, 509. Prime factorization of 44283 in exponential form is:

44283 = 31 × 291 × 5091

Prime Factorization of 44294

Prime factors of 44294 are 2, 22147. Prime factorization of 44294 in exponential form is:

44294 = 21 × 221471

Now multiplying the highest exponent prime factors to calculate the LCM of 44283 and 44294.

LCM(44283,44294) = 31 × 291 × 5091 × 21 × 221471
LCM(44283,44294) = 1961471202