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What is the Least Common Multiple of 44203 and 44215?

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 44203 and 44215 is 1954435645.

LCM(44203,44215) = 1954435645

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Least Common Multiple of 44203 and 44215 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 44203 and 44215, than apply into the LCM equation.

GCF(44203,44215) = 1
LCM(44203,44215) = ( 44203 × 44215) / 1
LCM(44203,44215) = 1954435645 / 1
LCM(44203,44215) = 1954435645

Least Common Multiple (LCM) of 44203 and 44215 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 44203 and 44215. First we will calculate the prime factors of 44203 and 44215.

Prime Factorization of 44203

Prime factors of 44203 are 44203. Prime factorization of 44203 in exponential form is:

44203 = 442031

Prime Factorization of 44215

Prime factors of 44215 are 5, 37, 239. Prime factorization of 44215 in exponential form is:

44215 = 51 × 371 × 2391

Now multiplying the highest exponent prime factors to calculate the LCM of 44203 and 44215.

LCM(44203,44215) = 442031 × 51 × 371 × 2391
LCM(44203,44215) = 1954435645