What is the Least Common Multiple of 83779 and 83794?
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 83779 and 83794 is 7020177526.
LCM(83779,83794) = 7020177526
Least Common Multiple of 83779 and 83794 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 83779 and 83794, than apply into the LCM equation.
GCF(83779,83794) = 1
LCM(83779,83794) = ( 83779 × 83794) / 1
LCM(83779,83794) = 7020177526 / 1
LCM(83779,83794) = 7020177526
Least Common Multiple (LCM) of 83779 and 83794 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 83779 and 83794. First we will calculate the prime factors of 83779 and 83794.
Prime Factorization of 83779
Prime factors of 83779 are 199, 421. Prime factorization of 83779 in exponential form is:
83779 = 1991 × 4211
Prime Factorization of 83794
Prime factors of 83794 are 2, 41897. Prime factorization of 83794 in exponential form is:
83794 = 21 × 418971
Now multiplying the highest exponent prime factors to calculate the LCM of 83779 and 83794.
LCM(83779,83794) = 1991 × 4211 × 21 × 418971
LCM(83779,83794) = 7020177526
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