What is the Least Common Multiple of 50841 and 50845?
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 50841 and 50845 is 2585010645.
LCM(50841,50845) = 2585010645
Least Common Multiple of 50841 and 50845 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 50841 and 50845, than apply into the LCM equation.
GCF(50841,50845) = 1
LCM(50841,50845) = ( 50841 × 50845) / 1
LCM(50841,50845) = 2585010645 / 1
LCM(50841,50845) = 2585010645
Least Common Multiple (LCM) of 50841 and 50845 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 50841 and 50845. First we will calculate the prime factors of 50841 and 50845.
Prime Factorization of 50841
Prime factors of 50841 are 3, 7, 269. Prime factorization of 50841 in exponential form is:
50841 = 33 × 71 × 2691
Prime Factorization of 50845
Prime factors of 50845 are 5, 10169. Prime factorization of 50845 in exponential form is:
50845 = 51 × 101691
Now multiplying the highest exponent prime factors to calculate the LCM of 50841 and 50845.
LCM(50841,50845) = 33 × 71 × 2691 × 51 × 101691
LCM(50841,50845) = 2585010645
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