What is the Least Common Multiple of 50122 and 50133?
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 50122 and 50133 is 2512766226.
LCM(50122,50133) = 2512766226
Least Common Multiple of 50122 and 50133 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 50122 and 50133, than apply into the LCM equation.
GCF(50122,50133) = 1
LCM(50122,50133) = ( 50122 × 50133) / 1
LCM(50122,50133) = 2512766226 / 1
LCM(50122,50133) = 2512766226
Least Common Multiple (LCM) of 50122 and 50133 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 50122 and 50133. First we will calculate the prime factors of 50122 and 50133.
Prime Factorization of 50122
Prime factors of 50122 are 2, 19, 1319. Prime factorization of 50122 in exponential form is:
50122 = 21 × 191 × 13191
Prime Factorization of 50133
Prime factors of 50133 are 3, 17, 983. Prime factorization of 50133 in exponential form is:
50133 = 31 × 171 × 9831
Now multiplying the highest exponent prime factors to calculate the LCM of 50122 and 50133.
LCM(50122,50133) = 21 × 191 × 13191 × 31 × 171 × 9831
LCM(50122,50133) = 2512766226
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