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What is the Least Common Multiple of 44361 and 44373?

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 44361 and 44373 is 656143551.

LCM(44361,44373) = 656143551

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Least Common Multiple of 44361 and 44373 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 44361 and 44373, than apply into the LCM equation.

GCF(44361,44373) = 3
LCM(44361,44373) = ( 44361 × 44373) / 3
LCM(44361,44373) = 1968430653 / 3
LCM(44361,44373) = 656143551

Least Common Multiple (LCM) of 44361 and 44373 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 44361 and 44373. First we will calculate the prime factors of 44361 and 44373.

Prime Factorization of 44361

Prime factors of 44361 are 3, 31, 53. Prime factorization of 44361 in exponential form is:

44361 = 33 × 311 × 531

Prime Factorization of 44373

Prime factors of 44373 are 3, 7, 2113. Prime factorization of 44373 in exponential form is:

44373 = 31 × 71 × 21131

Now multiplying the highest exponent prime factors to calculate the LCM of 44361 and 44373.

LCM(44361,44373) = 33 × 311 × 531 × 71 × 21131
LCM(44361,44373) = 656143551