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What is the Least Common Multiple of 44069 and 44083?

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 44069 and 44083 is 1942693727.

LCM(44069,44083) = 1942693727

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Least Common Multiple of 44069 and 44083 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 44069 and 44083, than apply into the LCM equation.

GCF(44069,44083) = 1
LCM(44069,44083) = ( 44069 × 44083) / 1
LCM(44069,44083) = 1942693727 / 1
LCM(44069,44083) = 1942693727

Least Common Multiple (LCM) of 44069 and 44083 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 44069 and 44083. First we will calculate the prime factors of 44069 and 44083.

Prime Factorization of 44069

Prime factors of 44069 are 127, 347. Prime factorization of 44069 in exponential form is:

44069 = 1271 × 3471

Prime Factorization of 44083

Prime factors of 44083 are 13, 3391. Prime factorization of 44083 in exponential form is:

44083 = 131 × 33911

Now multiplying the highest exponent prime factors to calculate the LCM of 44069 and 44083.

LCM(44069,44083) = 1271 × 3471 × 131 × 33911
LCM(44069,44083) = 1942693727