What is the Least Common Multiple of 56558 and 56562?
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 56562 is 1599516798.
LCM(56558,56562) = 1599516798
Least Common Multiple of 56558 and 56562 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 56562, than apply into the LCM equation.
GCF(56558,56562) = 2
LCM(56558,56562) = ( 56558 × 56562) / 2
LCM(56558,56562) = 3199033596 / 2
LCM(56558,56562) = 1599516798
Least Common Multiple (LCM) of 56558 and 56562 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 56558 and 56562. First we will calculate the prime factors of 56558 and 56562.
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 56562
Prime factors of 56562 are 2, 3, 11, 857. Prime factorization of 56562 in exponential form is:
56562 = 21 × 31 × 111 × 8571
Now multiplying the highest exponent prime factors to calculate the LCM of 56558 and 56562.
LCM(56558,56562) = 21 × 282791 × 31 × 111 × 8571
LCM(56558,56562) = 1599516798
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