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What is the Least Common Multiple of 43863 and 43867?

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 43863 and 43867 is 1924138221.

LCM(43863,43867) = 1924138221

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Least Common Multiple of 43863 and 43867 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 43863 and 43867, than apply into the LCM equation.

GCF(43863,43867) = 1
LCM(43863,43867) = ( 43863 × 43867) / 1
LCM(43863,43867) = 1924138221 / 1
LCM(43863,43867) = 1924138221

Least Common Multiple (LCM) of 43863 and 43867 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 43863 and 43867. First we will calculate the prime factors of 43863 and 43867.

Prime Factorization of 43863

Prime factors of 43863 are 3, 14621. Prime factorization of 43863 in exponential form is:

43863 = 31 × 146211

Prime Factorization of 43867

Prime factors of 43867 are 43867. Prime factorization of 43867 in exponential form is:

43867 = 438671

Now multiplying the highest exponent prime factors to calculate the LCM of 43863 and 43867.

LCM(43863,43867) = 31 × 146211 × 438671
LCM(43863,43867) = 1924138221