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What is the Least Common Multiple of 44293 and 44303?

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 44293 and 44303 is 1962312779.

LCM(44293,44303) = 1962312779

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Least Common Multiple of 44293 and 44303 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 44293 and 44303, than apply into the LCM equation.

GCF(44293,44303) = 1
LCM(44293,44303) = ( 44293 × 44303) / 1
LCM(44293,44303) = 1962312779 / 1
LCM(44293,44303) = 1962312779

Least Common Multiple (LCM) of 44293 and 44303 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 44293 and 44303. First we will calculate the prime factors of 44293 and 44303.

Prime Factorization of 44293

Prime factors of 44293 are 44293. Prime factorization of 44293 in exponential form is:

44293 = 442931

Prime Factorization of 44303

Prime factors of 44303 are 7, 6329. Prime factorization of 44303 in exponential form is:

44303 = 71 × 63291

Now multiplying the highest exponent prime factors to calculate the LCM of 44293 and 44303.

LCM(44293,44303) = 442931 × 71 × 63291
LCM(44293,44303) = 1962312779