What is the Least Common Multiple of 56571 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 56571 and 56576 is 3200560896.
LCM(56571,56576) = 3200560896
Least Common Multiple of 56571 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 56571 and 56576, than apply into the LCM equation.
GCF(56571,56576) = 1
LCM(56571,56576) = ( 56571 × 56576) / 1
LCM(56571,56576) = 3200560896 / 1
LCM(56571,56576) = 3200560896
Least Common Multiple (LCM) of 56571 and 56576 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 56571 and 56576. First we will calculate the prime factors of 56571 and 56576.
Prime Factorization of 56571
Prime factors of 56571 are 3, 109, 173. Prime factorization of 56571 in exponential form is:
56571 = 31 × 1091 × 1731
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 56571 and 56576.
LCM(56571,56576) = 31 × 1091 × 1731 × 28 × 131 × 171
LCM(56571,56576) = 3200560896
Related Least Common Multiples of 56571
- LCM of 56571 and 56575
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Related Least Common Multiples of 56576
- LCM of 56576 and 56580
- LCM of 56576 and 56581
- LCM of 56576 and 56582
- LCM of 56576 and 56583
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