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What is the Least Common Multiple of 44243 and 44263?

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 44243 and 44263 is 1958327909.

LCM(44243,44263) = 1958327909

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Least Common Multiple of 44243 and 44263 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 44243 and 44263, than apply into the LCM equation.

GCF(44243,44263) = 1
LCM(44243,44263) = ( 44243 × 44263) / 1
LCM(44243,44263) = 1958327909 / 1
LCM(44243,44263) = 1958327909

Least Common Multiple (LCM) of 44243 and 44263 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 44243 and 44263. First we will calculate the prime factors of 44243 and 44263.

Prime Factorization of 44243

Prime factors of 44243 are 151, 293. Prime factorization of 44243 in exponential form is:

44243 = 1511 × 2931

Prime Factorization of 44263

Prime factors of 44263 are 44263. Prime factorization of 44263 in exponential form is:

44263 = 442631

Now multiplying the highest exponent prime factors to calculate the LCM of 44243 and 44263.

LCM(44243,44263) = 1511 × 2931 × 442631
LCM(44243,44263) = 1958327909