What is the Least Common Multiple of 56558 and 56576?
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 56576 is 1599912704.
LCM(56558,56576) = 1599912704
Least Common Multiple of 56558 and 56576 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 56576, than apply into the LCM equation.
GCF(56558,56576) = 2
LCM(56558,56576) = ( 56558 × 56576) / 2
LCM(56558,56576) = 3199825408 / 2
LCM(56558,56576) = 1599912704
Least Common Multiple (LCM) of 56558 and 56576 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 56558 and 56576. First we will calculate the prime factors of 56558 and 56576.
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 56576
Prime factors of 56576 are 2, 13, 17. Prime factorization of 56576 in exponential form is:
56576 = 28 × 131 × 171
Now multiplying the highest exponent prime factors to calculate the LCM of 56558 and 56576.
LCM(56558,56576) = 28 × 282791 × 131 × 171
LCM(56558,56576) = 1599912704
Related Least Common Multiples of 56558
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Related Least Common Multiples of 56576
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- LCM of 56576 and 56581
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