What is the Least Common Multiple of 50885 and 50889?
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 50885 and 50889 is 2589486765.
LCM(50885,50889) = 2589486765
Least Common Multiple of 50885 and 50889 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 50885 and 50889, than apply into the LCM equation.
GCF(50885,50889) = 1
LCM(50885,50889) = ( 50885 × 50889) / 1
LCM(50885,50889) = 2589486765 / 1
LCM(50885,50889) = 2589486765
Least Common Multiple (LCM) of 50885 and 50889 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 50885 and 50889. First we will calculate the prime factors of 50885 and 50889.
Prime Factorization of 50885
Prime factors of 50885 are 5, 10177. Prime factorization of 50885 in exponential form is:
50885 = 51 × 101771
Prime Factorization of 50889
Prime factors of 50889 are 3, 16963. Prime factorization of 50889 in exponential form is:
50889 = 31 × 169631
Now multiplying the highest exponent prime factors to calculate the LCM of 50885 and 50889.
LCM(50885,50889) = 51 × 101771 × 31 × 169631
LCM(50885,50889) = 2589486765
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