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What is the Least Common Multiple of 44279 and 44297?

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 44279 and 44297 is 1961426863.

LCM(44279,44297) = 1961426863

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Least Common Multiple of 44279 and 44297 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 44279 and 44297, than apply into the LCM equation.

GCF(44279,44297) = 1
LCM(44279,44297) = ( 44279 × 44297) / 1
LCM(44279,44297) = 1961426863 / 1
LCM(44279,44297) = 1961426863

Least Common Multiple (LCM) of 44279 and 44297 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 44279 and 44297. First we will calculate the prime factors of 44279 and 44297.

Prime Factorization of 44279

Prime factors of 44279 are 44279. Prime factorization of 44279 in exponential form is:

44279 = 442791

Prime Factorization of 44297

Prime factors of 44297 are 11, 4027. Prime factorization of 44297 in exponential form is:

44297 = 111 × 40271

Now multiplying the highest exponent prime factors to calculate the LCM of 44279 and 44297.

LCM(44279,44297) = 442791 × 111 × 40271
LCM(44279,44297) = 1961426863