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What is the Least Common Multiple of 44082 and 44087?

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 44082 and 44087 is 1943443134.

LCM(44082,44087) = 1943443134

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Least Common Multiple of 44082 and 44087 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 44082 and 44087, than apply into the LCM equation.

GCF(44082,44087) = 1
LCM(44082,44087) = ( 44082 × 44087) / 1
LCM(44082,44087) = 1943443134 / 1
LCM(44082,44087) = 1943443134

Least Common Multiple (LCM) of 44082 and 44087 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 44082 and 44087. First we will calculate the prime factors of 44082 and 44087.

Prime Factorization of 44082

Prime factors of 44082 are 2, 3, 31, 79. Prime factorization of 44082 in exponential form is:

44082 = 21 × 32 × 311 × 791

Prime Factorization of 44087

Prime factors of 44087 are 44087. Prime factorization of 44087 in exponential form is:

44087 = 440871

Now multiplying the highest exponent prime factors to calculate the LCM of 44082 and 44087.

LCM(44082,44087) = 21 × 32 × 311 × 791 × 440871
LCM(44082,44087) = 1943443134