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What is the Least Common Multiple of 44067 and 44074?

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 44067 and 44074 is 1942208958.

LCM(44067,44074) = 1942208958

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Least Common Multiple of 44067 and 44074 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 44067 and 44074, than apply into the LCM equation.

GCF(44067,44074) = 1
LCM(44067,44074) = ( 44067 × 44074) / 1
LCM(44067,44074) = 1942208958 / 1
LCM(44067,44074) = 1942208958

Least Common Multiple (LCM) of 44067 and 44074 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 44067 and 44074. First we will calculate the prime factors of 44067 and 44074.

Prime Factorization of 44067

Prime factors of 44067 are 3, 37, 397. Prime factorization of 44067 in exponential form is:

44067 = 31 × 371 × 3971

Prime Factorization of 44074

Prime factors of 44074 are 2, 22037. Prime factorization of 44074 in exponential form is:

44074 = 21 × 220371

Now multiplying the highest exponent prime factors to calculate the LCM of 44067 and 44074.

LCM(44067,44074) = 31 × 371 × 3971 × 21 × 220371
LCM(44067,44074) = 1942208958