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What is the Least Common Multiple of 44378 and 44386?

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 44378 and 44386 is 984880954.

LCM(44378,44386) = 984880954

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Least Common Multiple of 44378 and 44386 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 44378 and 44386, than apply into the LCM equation.

GCF(44378,44386) = 2
LCM(44378,44386) = ( 44378 × 44386) / 2
LCM(44378,44386) = 1969761908 / 2
LCM(44378,44386) = 984880954

Least Common Multiple (LCM) of 44378 and 44386 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 44378 and 44386. First we will calculate the prime factors of 44378 and 44386.

Prime Factorization of 44378

Prime factors of 44378 are 2, 22189. Prime factorization of 44378 in exponential form is:

44378 = 21 × 221891

Prime Factorization of 44386

Prime factors of 44386 are 2, 22193. Prime factorization of 44386 in exponential form is:

44386 = 21 × 221931

Now multiplying the highest exponent prime factors to calculate the LCM of 44378 and 44386.

LCM(44378,44386) = 21 × 221891 × 221931
LCM(44378,44386) = 984880954