What is the Least Common Multiple of 50885 and 50903?
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 50903 is 2590199155.
LCM(50885,50903) = 2590199155
Least Common Multiple of 50885 and 50903 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 50903, than apply into the LCM equation.
GCF(50885,50903) = 1
LCM(50885,50903) = ( 50885 × 50903) / 1
LCM(50885,50903) = 2590199155 / 1
LCM(50885,50903) = 2590199155
Least Common Multiple (LCM) of 50885 and 50903 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 50885 and 50903. First we will calculate the prime factors of 50885 and 50903.
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 50903
Prime factors of 50903 are 109, 467. Prime factorization of 50903 in exponential form is:
50903 = 1091 × 4671
Now multiplying the highest exponent prime factors to calculate the LCM of 50885 and 50903.
LCM(50885,50903) = 51 × 101771 × 1091 × 4671
LCM(50885,50903) = 2590199155
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