What is the Least Common Multiple of 35883 and 35889?
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 35883 and 35889 is 429268329.
LCM(35883,35889) = 429268329
Least Common Multiple of 35883 and 35889 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 35883 and 35889, than apply into the LCM equation.
GCF(35883,35889) = 3
LCM(35883,35889) = ( 35883 × 35889) / 3
LCM(35883,35889) = 1287804987 / 3
LCM(35883,35889) = 429268329
Least Common Multiple (LCM) of 35883 and 35889 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 35883 and 35889. First we will calculate the prime factors of 35883 and 35889.
Prime Factorization of 35883
Prime factors of 35883 are 3, 443. Prime factorization of 35883 in exponential form is:
35883 = 34 × 4431
Prime Factorization of 35889
Prime factors of 35889 are 3, 7, 1709. Prime factorization of 35889 in exponential form is:
35889 = 31 × 71 × 17091
Now multiplying the highest exponent prime factors to calculate the LCM of 35883 and 35889.
LCM(35883,35889) = 34 × 4431 × 71 × 17091
LCM(35883,35889) = 429268329
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