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What is the Least Common Multiple of 44459 and 44463?

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 44459 and 44463 is 1976780517.

LCM(44459,44463) = 1976780517

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Least Common Multiple of 44459 and 44463 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 44459 and 44463, than apply into the LCM equation.

GCF(44459,44463) = 1
LCM(44459,44463) = ( 44459 × 44463) / 1
LCM(44459,44463) = 1976780517 / 1
LCM(44459,44463) = 1976780517

Least Common Multiple (LCM) of 44459 and 44463 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 44459 and 44463. First we will calculate the prime factors of 44459 and 44463.

Prime Factorization of 44459

Prime factors of 44459 are 23, 1933. Prime factorization of 44459 in exponential form is:

44459 = 231 × 19331

Prime Factorization of 44463

Prime factors of 44463 are 3, 14821. Prime factorization of 44463 in exponential form is:

44463 = 31 × 148211

Now multiplying the highest exponent prime factors to calculate the LCM of 44459 and 44463.

LCM(44459,44463) = 231 × 19331 × 31 × 148211
LCM(44459,44463) = 1976780517