What is the Least Common Multiple of 69211 and 69226?
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 69211 and 69226 is 4791200686.
LCM(69211,69226) = 4791200686
Least Common Multiple of 69211 and 69226 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 69211 and 69226, than apply into the LCM equation.
GCF(69211,69226) = 1
LCM(69211,69226) = ( 69211 × 69226) / 1
LCM(69211,69226) = 4791200686 / 1
LCM(69211,69226) = 4791200686
Least Common Multiple (LCM) of 69211 and 69226 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 69211 and 69226. First we will calculate the prime factors of 69211 and 69226.
Prime Factorization of 69211
Prime factors of 69211 are 67, 1033. Prime factorization of 69211 in exponential form is:
69211 = 671 × 10331
Prime Factorization of 69226
Prime factors of 69226 are 2, 34613. Prime factorization of 69226 in exponential form is:
69226 = 21 × 346131
Now multiplying the highest exponent prime factors to calculate the LCM of 69211 and 69226.
LCM(69211,69226) = 671 × 10331 × 21 × 346131
LCM(69211,69226) = 4791200686
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