What is the Least Common Multiple of 56883 and 56893?
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 56883 and 56893 is 3236244519.
LCM(56883,56893) = 3236244519
Least Common Multiple of 56883 and 56893 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56883 and 56893, than apply into the LCM equation.
GCF(56883,56893) = 1
LCM(56883,56893) = ( 56883 × 56893) / 1
LCM(56883,56893) = 3236244519 / 1
LCM(56883,56893) = 3236244519
Least Common Multiple (LCM) of 56883 and 56893 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 56883 and 56893. First we will calculate the prime factors of 56883 and 56893.
Prime Factorization of 56883
Prime factors of 56883 are 3, 67, 283. Prime factorization of 56883 in exponential form is:
56883 = 31 × 671 × 2831
Prime Factorization of 56893
Prime factors of 56893 are 56893. Prime factorization of 56893 in exponential form is:
56893 = 568931
Now multiplying the highest exponent prime factors to calculate the LCM of 56883 and 56893.
LCM(56883,56893) = 31 × 671 × 2831 × 568931
LCM(56883,56893) = 3236244519
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