What is the Least Common Multiple of 8779 and 8796?
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 8779 and 8796 is 77220084.
LCM(8779,8796) = 77220084
Least Common Multiple of 8779 and 8796 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8779 and 8796, than apply into the LCM equation.
GCF(8779,8796) = 1
LCM(8779,8796) = ( 8779 × 8796) / 1
LCM(8779,8796) = 77220084 / 1
LCM(8779,8796) = 77220084
Least Common Multiple (LCM) of 8779 and 8796 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 8779 and 8796. First we will calculate the prime factors of 8779 and 8796.
Prime Factorization of 8779
Prime factors of 8779 are 8779. Prime factorization of 8779 in exponential form is:
8779 = 87791
Prime Factorization of 8796
Prime factors of 8796 are 2, 3, 733. Prime factorization of 8796 in exponential form is:
8796 = 22 × 31 × 7331
Now multiplying the highest exponent prime factors to calculate the LCM of 8779 and 8796.
LCM(8779,8796) = 87791 × 22 × 31 × 7331
LCM(8779,8796) = 77220084
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