What is the Least Common Multiple of 69790 and 69794?
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 69790 and 69794 is 2435461630.
LCM(69790,69794) = 2435461630
Least Common Multiple of 69790 and 69794 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 69790 and 69794, than apply into the LCM equation.
GCF(69790,69794) = 2
LCM(69790,69794) = ( 69790 × 69794) / 2
LCM(69790,69794) = 4870923260 / 2
LCM(69790,69794) = 2435461630
Least Common Multiple (LCM) of 69790 and 69794 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 69790 and 69794. First we will calculate the prime factors of 69790 and 69794.
Prime Factorization of 69790
Prime factors of 69790 are 2, 5, 7, 997. Prime factorization of 69790 in exponential form is:
69790 = 21 × 51 × 71 × 9971
Prime Factorization of 69794
Prime factors of 69794 are 2, 34897. Prime factorization of 69794 in exponential form is:
69794 = 21 × 348971
Now multiplying the highest exponent prime factors to calculate the LCM of 69790 and 69794.
LCM(69790,69794) = 21 × 51 × 71 × 9971 × 348971
LCM(69790,69794) = 2435461630
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