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What is the Least Common Multiple of 44133 and 44139?

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 44133 and 44139 is 649328829.

LCM(44133,44139) = 649328829

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Least Common Multiple of 44133 and 44139 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 44133 and 44139, than apply into the LCM equation.

GCF(44133,44139) = 3
LCM(44133,44139) = ( 44133 × 44139) / 3
LCM(44133,44139) = 1947986487 / 3
LCM(44133,44139) = 649328829

Least Common Multiple (LCM) of 44133 and 44139 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 44133 and 44139. First we will calculate the prime factors of 44133 and 44139.

Prime Factorization of 44133

Prime factors of 44133 are 3, 47, 313. Prime factorization of 44133 in exponential form is:

44133 = 31 × 471 × 3131

Prime Factorization of 44139

Prime factors of 44139 are 3, 14713. Prime factorization of 44139 in exponential form is:

44139 = 31 × 147131

Now multiplying the highest exponent prime factors to calculate the LCM of 44133 and 44139.

LCM(44133,44139) = 31 × 471 × 3131 × 147131
LCM(44133,44139) = 649328829