What is the Least Common Multiple of 10841 and 10850?
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 10841 and 10850 is 117624850.
LCM(10841,10850) = 117624850
Least Common Multiple of 10841 and 10850 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10841 and 10850, than apply into the LCM equation.
GCF(10841,10850) = 1
LCM(10841,10850) = ( 10841 × 10850) / 1
LCM(10841,10850) = 117624850 / 1
LCM(10841,10850) = 117624850
Least Common Multiple (LCM) of 10841 and 10850 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 10841 and 10850. First we will calculate the prime factors of 10841 and 10850.
Prime Factorization of 10841
Prime factors of 10841 are 37, 293. Prime factorization of 10841 in exponential form is:
10841 = 371 × 2931
Prime Factorization of 10850
Prime factors of 10850 are 2, 5, 7, 31. Prime factorization of 10850 in exponential form is:
10850 = 21 × 52 × 71 × 311
Now multiplying the highest exponent prime factors to calculate the LCM of 10841 and 10850.
LCM(10841,10850) = 371 × 2931 × 21 × 52 × 71 × 311
LCM(10841,10850) = 117624850
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