What is the Least Common Multiple of 78787 and 78794?
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 78787 and 78794 is 6207942878.
LCM(78787,78794) = 6207942878
Least Common Multiple of 78787 and 78794 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 78787 and 78794, than apply into the LCM equation.
GCF(78787,78794) = 1
LCM(78787,78794) = ( 78787 × 78794) / 1
LCM(78787,78794) = 6207942878 / 1
LCM(78787,78794) = 6207942878
Least Common Multiple (LCM) of 78787 and 78794 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 78787 and 78794. First we will calculate the prime factors of 78787 and 78794.
Prime Factorization of 78787
Prime factors of 78787 are 78787. Prime factorization of 78787 in exponential form is:
78787 = 787871
Prime Factorization of 78794
Prime factors of 78794 are 2, 39397. Prime factorization of 78794 in exponential form is:
78794 = 21 × 393971
Now multiplying the highest exponent prime factors to calculate the LCM of 78787 and 78794.
LCM(78787,78794) = 787871 × 21 × 393971
LCM(78787,78794) = 6207942878
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