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What is the Least Common Multiple of 43377 and 43385?

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 43377 and 43385 is 1881911145.

LCM(43377,43385) = 1881911145

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Least Common Multiple of 43377 and 43385 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 43377 and 43385, than apply into the LCM equation.

GCF(43377,43385) = 1
LCM(43377,43385) = ( 43377 × 43385) / 1
LCM(43377,43385) = 1881911145 / 1
LCM(43377,43385) = 1881911145

Least Common Multiple (LCM) of 43377 and 43385 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 43377 and 43385. First we will calculate the prime factors of 43377 and 43385.

Prime Factorization of 43377

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

43377 = 31 × 191 × 7611

Prime Factorization of 43385

Prime factors of 43385 are 5, 8677. Prime factorization of 43385 in exponential form is:

43385 = 51 × 86771

Now multiplying the highest exponent prime factors to calculate the LCM of 43377 and 43385.

LCM(43377,43385) = 31 × 191 × 7611 × 51 × 86771
LCM(43377,43385) = 1881911145