What is the Least Common Multiple of 56558 and 56563?
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 56558 and 56563 is 3199090154.
LCM(56558,56563) = 3199090154
Least Common Multiple of 56558 and 56563 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56558 and 56563, than apply into the LCM equation.
GCF(56558,56563) = 1
LCM(56558,56563) = ( 56558 × 56563) / 1
LCM(56558,56563) = 3199090154 / 1
LCM(56558,56563) = 3199090154
Least Common Multiple (LCM) of 56558 and 56563 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 56558 and 56563. First we will calculate the prime factors of 56558 and 56563.
Prime Factorization of 56558
Prime factors of 56558 are 2, 28279. Prime factorization of 56558 in exponential form is:
56558 = 21 × 282791
Prime Factorization of 56563
Prime factors of 56563 are 13, 19, 229. Prime factorization of 56563 in exponential form is:
56563 = 131 × 191 × 2291
Now multiplying the highest exponent prime factors to calculate the LCM of 56558 and 56563.
LCM(56558,56563) = 21 × 282791 × 131 × 191 × 2291
LCM(56558,56563) = 3199090154
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