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What is the Least Common Multiple of 44418 and 44426?

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 44418 and 44426 is 986657034.

LCM(44418,44426) = 986657034

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Least Common Multiple of 44418 and 44426 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 44418 and 44426, than apply into the LCM equation.

GCF(44418,44426) = 2
LCM(44418,44426) = ( 44418 × 44426) / 2
LCM(44418,44426) = 1973314068 / 2
LCM(44418,44426) = 986657034

Least Common Multiple (LCM) of 44418 and 44426 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 44418 and 44426. First we will calculate the prime factors of 44418 and 44426.

Prime Factorization of 44418

Prime factors of 44418 are 2, 3, 11, 673. Prime factorization of 44418 in exponential form is:

44418 = 21 × 31 × 111 × 6731

Prime Factorization of 44426

Prime factors of 44426 are 2, 97, 229. Prime factorization of 44426 in exponential form is:

44426 = 21 × 971 × 2291

Now multiplying the highest exponent prime factors to calculate the LCM of 44418 and 44426.

LCM(44418,44426) = 21 × 31 × 111 × 6731 × 971 × 2291
LCM(44418,44426) = 986657034