What is the Least Common Multiple of 57833 and 57838?
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 57833 and 57838 is 3344945054.
LCM(57833,57838) = 3344945054
Least Common Multiple of 57833 and 57838 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 57833 and 57838, than apply into the LCM equation.
GCF(57833,57838) = 1
LCM(57833,57838) = ( 57833 × 57838) / 1
LCM(57833,57838) = 3344945054 / 1
LCM(57833,57838) = 3344945054
Least Common Multiple (LCM) of 57833 and 57838 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 57833 and 57838. First we will calculate the prime factors of 57833 and 57838.
Prime Factorization of 57833
Prime factors of 57833 are 151, 383. Prime factorization of 57833 in exponential form is:
57833 = 1511 × 3831
Prime Factorization of 57838
Prime factors of 57838 are 2, 11, 239. Prime factorization of 57838 in exponential form is:
57838 = 21 × 112 × 2391
Now multiplying the highest exponent prime factors to calculate the LCM of 57833 and 57838.
LCM(57833,57838) = 1511 × 3831 × 21 × 112 × 2391
LCM(57833,57838) = 3344945054
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