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What is the Least Common Multiple of 44078 and 44089?

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 44078 and 44089 is 1943354942.

LCM(44078,44089) = 1943354942

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Least Common Multiple of 44078 and 44089 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 44078 and 44089, than apply into the LCM equation.

GCF(44078,44089) = 1
LCM(44078,44089) = ( 44078 × 44089) / 1
LCM(44078,44089) = 1943354942 / 1
LCM(44078,44089) = 1943354942

Least Common Multiple (LCM) of 44078 and 44089 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 44078 and 44089. First we will calculate the prime factors of 44078 and 44089.

Prime Factorization of 44078

Prime factors of 44078 are 2, 22039. Prime factorization of 44078 in exponential form is:

44078 = 21 × 220391

Prime Factorization of 44089

Prime factors of 44089 are 44089. Prime factorization of 44089 in exponential form is:

44089 = 440891

Now multiplying the highest exponent prime factors to calculate the LCM of 44078 and 44089.

LCM(44078,44089) = 21 × 220391 × 440891
LCM(44078,44089) = 1943354942