What is the Least Common Multiple of 43889 and 43897?
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 43889 and 43897 is 1926595433.
LCM(43889,43897) = 1926595433
Least Common Multiple of 43889 and 43897 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 43889 and 43897, than apply into the LCM equation.
GCF(43889,43897) = 1
LCM(43889,43897) = ( 43889 × 43897) / 1
LCM(43889,43897) = 1926595433 / 1
LCM(43889,43897) = 1926595433
Least Common Multiple (LCM) of 43889 and 43897 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 43889 and 43897. First we will calculate the prime factors of 43889 and 43897.
Prime Factorization of 43889
Prime factors of 43889 are 43889. Prime factorization of 43889 in exponential form is:
43889 = 438891
Prime Factorization of 43897
Prime factors of 43897 are 7, 6271. Prime factorization of 43897 in exponential form is:
43897 = 71 × 62711
Now multiplying the highest exponent prime factors to calculate the LCM of 43889 and 43897.
LCM(43889,43897) = 438891 × 71 × 62711
LCM(43889,43897) = 1926595433
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