What is the Least Common Multiple of 50198 and 50217?
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 50198 and 50217 is 132673314.
LCM(50198,50217) = 132673314
Least Common Multiple of 50198 and 50217 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 50198 and 50217, than apply into the LCM equation.
GCF(50198,50217) = 19
LCM(50198,50217) = ( 50198 × 50217) / 19
LCM(50198,50217) = 2520792966 / 19
LCM(50198,50217) = 132673314
Least Common Multiple (LCM) of 50198 and 50217 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 50198 and 50217. First we will calculate the prime factors of 50198 and 50217.
Prime Factorization of 50198
Prime factors of 50198 are 2, 19, 1321. Prime factorization of 50198 in exponential form is:
50198 = 21 × 191 × 13211
Prime Factorization of 50217
Prime factors of 50217 are 3, 19, 881. Prime factorization of 50217 in exponential form is:
50217 = 31 × 191 × 8811
Now multiplying the highest exponent prime factors to calculate the LCM of 50198 and 50217.
LCM(50198,50217) = 21 × 191 × 13211 × 31 × 8811
LCM(50198,50217) = 132673314
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