What is the Least Common Multiple of 56779 and 56799?
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 56779 and 56799 is 3224990421.
LCM(56779,56799) = 3224990421
Least Common Multiple of 56779 and 56799 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56779 and 56799, than apply into the LCM equation.
GCF(56779,56799) = 1
LCM(56779,56799) = ( 56779 × 56799) / 1
LCM(56779,56799) = 3224990421 / 1
LCM(56779,56799) = 3224990421
Least Common Multiple (LCM) of 56779 and 56799 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 56779 and 56799. First we will calculate the prime factors of 56779 and 56799.
Prime Factorization of 56779
Prime factors of 56779 are 56779. Prime factorization of 56779 in exponential form is:
56779 = 567791
Prime Factorization of 56799
Prime factors of 56799 are 3, 6311. Prime factorization of 56799 in exponential form is:
56799 = 32 × 63111
Now multiplying the highest exponent prime factors to calculate the LCM of 56779 and 56799.
LCM(56779,56799) = 567791 × 32 × 63111
LCM(56779,56799) = 3224990421
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