What is the Least Common Multiple of 50267 and 50275?
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 50267 and 50275 is 2527173425.
LCM(50267,50275) = 2527173425
Least Common Multiple of 50267 and 50275 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 50267 and 50275, than apply into the LCM equation.
GCF(50267,50275) = 1
LCM(50267,50275) = ( 50267 × 50275) / 1
LCM(50267,50275) = 2527173425 / 1
LCM(50267,50275) = 2527173425
Least Common Multiple (LCM) of 50267 and 50275 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 50267 and 50275. First we will calculate the prime factors of 50267 and 50275.
Prime Factorization of 50267
Prime factors of 50267 are 7, 43, 167. Prime factorization of 50267 in exponential form is:
50267 = 71 × 431 × 1671
Prime Factorization of 50275
Prime factors of 50275 are 5, 2011. Prime factorization of 50275 in exponential form is:
50275 = 52 × 20111
Now multiplying the highest exponent prime factors to calculate the LCM of 50267 and 50275.
LCM(50267,50275) = 71 × 431 × 1671 × 52 × 20111
LCM(50267,50275) = 2527173425
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