What is the Least Common Multiple of 43883 and 43893?
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 43883 and 43893 is 1926156519.
LCM(43883,43893) = 1926156519
Least Common Multiple of 43883 and 43893 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 43883 and 43893, than apply into the LCM equation.
GCF(43883,43893) = 1
LCM(43883,43893) = ( 43883 × 43893) / 1
LCM(43883,43893) = 1926156519 / 1
LCM(43883,43893) = 1926156519
Least Common Multiple (LCM) of 43883 and 43893 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 43883 and 43893. First we will calculate the prime factors of 43883 and 43893.
Prime Factorization of 43883
Prime factors of 43883 are 7, 6269. Prime factorization of 43883 in exponential form is:
43883 = 71 × 62691
Prime Factorization of 43893
Prime factors of 43893 are 3, 4877. Prime factorization of 43893 in exponential form is:
43893 = 32 × 48771
Now multiplying the highest exponent prime factors to calculate the LCM of 43883 and 43893.
LCM(43883,43893) = 71 × 62691 × 32 × 48771
LCM(43883,43893) = 1926156519
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