What is the Least Common Multiple of 93794 and 93799?
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 93794 and 93799 is 8797783406.
LCM(93794,93799) = 8797783406
Least Common Multiple of 93794 and 93799 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93794 and 93799, than apply into the LCM equation.
GCF(93794,93799) = 1
LCM(93794,93799) = ( 93794 × 93799) / 1
LCM(93794,93799) = 8797783406 / 1
LCM(93794,93799) = 8797783406
Least Common Multiple (LCM) of 93794 and 93799 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 93794 and 93799. First we will calculate the prime factors of 93794 and 93799.
Prime Factorization of 93794
Prime factors of 93794 are 2, 23, 2039. Prime factorization of 93794 in exponential form is:
93794 = 21 × 231 × 20391
Prime Factorization of 93799
Prime factors of 93799 are 97, 967. Prime factorization of 93799 in exponential form is:
93799 = 971 × 9671
Now multiplying the highest exponent prime factors to calculate the LCM of 93794 and 93799.
LCM(93794,93799) = 21 × 231 × 20391 × 971 × 9671
LCM(93794,93799) = 8797783406
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