What is the Least Common Multiple of 41839 and 41850?
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 41839 and 41850 is 1750962150.
LCM(41839,41850) = 1750962150
Least Common Multiple of 41839 and 41850 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 41839 and 41850, than apply into the LCM equation.
GCF(41839,41850) = 1
LCM(41839,41850) = ( 41839 × 41850) / 1
LCM(41839,41850) = 1750962150 / 1
LCM(41839,41850) = 1750962150
Least Common Multiple (LCM) of 41839 and 41850 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 41839 and 41850. First we will calculate the prime factors of 41839 and 41850.
Prime Factorization of 41839
Prime factors of 41839 are 7, 43, 139. Prime factorization of 41839 in exponential form is:
41839 = 71 × 431 × 1391
Prime Factorization of 41850
Prime factors of 41850 are 2, 3, 5, 31. Prime factorization of 41850 in exponential form is:
41850 = 21 × 33 × 52 × 311
Now multiplying the highest exponent prime factors to calculate the LCM of 41839 and 41850.
LCM(41839,41850) = 71 × 431 × 1391 × 21 × 33 × 52 × 311
LCM(41839,41850) = 1750962150
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