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What is the Least Common Multiple of 43853 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 43853 and 43867 is 1923699551.

LCM(43853,43867) = 1923699551

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Least Common Multiple of 43853 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 43853 and 43867, than apply into the LCM equation.

GCF(43853,43867) = 1
LCM(43853,43867) = ( 43853 × 43867) / 1
LCM(43853,43867) = 1923699551 / 1
LCM(43853,43867) = 1923699551

Least Common Multiple (LCM) of 43853 and 43867 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 43853 and 43867. First we will calculate the prime factors of 43853 and 43867.

Prime Factorization of 43853

Prime factors of 43853 are 43853. Prime factorization of 43853 in exponential form is:

43853 = 438531

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 43853 and 43867.

LCM(43853,43867) = 438531 × 438671
LCM(43853,43867) = 1923699551