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What is the Least Common Multiple of 43366 and 43377?

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 43366 and 43377 is 1881086982.

LCM(43366,43377) = 1881086982

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Least Common Multiple of 43366 and 43377 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 43366 and 43377, than apply into the LCM equation.

GCF(43366,43377) = 1
LCM(43366,43377) = ( 43366 × 43377) / 1
LCM(43366,43377) = 1881086982 / 1
LCM(43366,43377) = 1881086982

Least Common Multiple (LCM) of 43366 and 43377 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 43366 and 43377. First we will calculate the prime factors of 43366 and 43377.

Prime Factorization of 43366

Prime factors of 43366 are 2, 21683. Prime factorization of 43366 in exponential form is:

43366 = 21 × 216831

Prime Factorization of 43377

Prime factors of 43377 are 3, 19, 761. Prime factorization of 43377 in exponential form is:

43377 = 31 × 191 × 7611

Now multiplying the highest exponent prime factors to calculate the LCM of 43366 and 43377.

LCM(43366,43377) = 21 × 216831 × 31 × 191 × 7611
LCM(43366,43377) = 1881086982