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What is the Least Common Multiple of 44463 and 44482?

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 44463 and 44482 is 1977803166.

LCM(44463,44482) = 1977803166

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Least Common Multiple of 44463 and 44482 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 44463 and 44482, than apply into the LCM equation.

GCF(44463,44482) = 1
LCM(44463,44482) = ( 44463 × 44482) / 1
LCM(44463,44482) = 1977803166 / 1
LCM(44463,44482) = 1977803166

Least Common Multiple (LCM) of 44463 and 44482 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 44463 and 44482. First we will calculate the prime factors of 44463 and 44482.

Prime Factorization of 44463

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

44463 = 31 × 148211

Prime Factorization of 44482

Prime factors of 44482 are 2, 23, 967. Prime factorization of 44482 in exponential form is:

44482 = 21 × 231 × 9671

Now multiplying the highest exponent prime factors to calculate the LCM of 44463 and 44482.

LCM(44463,44482) = 31 × 148211 × 21 × 231 × 9671
LCM(44463,44482) = 1977803166