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What is the Least Common Multiple of 44433 and 44446?

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 44433 and 44446 is 1974869118.

LCM(44433,44446) = 1974869118

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Least Common Multiple of 44433 and 44446 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 44433 and 44446, than apply into the LCM equation.

GCF(44433,44446) = 1
LCM(44433,44446) = ( 44433 × 44446) / 1
LCM(44433,44446) = 1974869118 / 1
LCM(44433,44446) = 1974869118

Least Common Multiple (LCM) of 44433 and 44446 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 44433 and 44446. First we will calculate the prime factors of 44433 and 44446.

Prime Factorization of 44433

Prime factors of 44433 are 3, 4937. Prime factorization of 44433 in exponential form is:

44433 = 32 × 49371

Prime Factorization of 44446

Prime factors of 44446 are 2, 71, 313. Prime factorization of 44446 in exponential form is:

44446 = 21 × 711 × 3131

Now multiplying the highest exponent prime factors to calculate the LCM of 44433 and 44446.

LCM(44433,44446) = 32 × 49371 × 21 × 711 × 3131
LCM(44433,44446) = 1974869118