What is the Least Common Multiple of 8779 and 8783?
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 8783 is 77105957.
LCM(8779,8783) = 77105957
Least Common Multiple of 8779 and 8783 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 8783, than apply into the LCM equation.
GCF(8779,8783) = 1
LCM(8779,8783) = ( 8779 × 8783) / 1
LCM(8779,8783) = 77105957 / 1
LCM(8779,8783) = 77105957
Least Common Multiple (LCM) of 8779 and 8783 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 8779 and 8783. First we will calculate the prime factors of 8779 and 8783.
Prime Factorization of 8779
Prime factors of 8779 are 8779. Prime factorization of 8779 in exponential form is:
8779 = 87791
Prime Factorization of 8783
Prime factors of 8783 are 8783. Prime factorization of 8783 in exponential form is:
8783 = 87831
Now multiplying the highest exponent prime factors to calculate the LCM of 8779 and 8783.
LCM(8779,8783) = 87791 × 87831
LCM(8779,8783) = 77105957
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