least common multiple of 5 and 11
Understand the Problem
The question is asking us to find the least common multiple (LCM) of the numbers 5 and 11. The LCM is the smallest positive integer that is divisible by both numbers. To find it, we can list the multiples of each number or use the formula involving their greatest common divisor (GCD).
Answer
55
Answer for screen readers
The final answer is 55
Steps to Solve
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List the prime factors of each number
Identify the prime factors of 5 and 11. Since both 5 and 11 are prime numbers, their only prime factors are 5 and 11 respectively.
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Apply the LCM formula for prime factors
The Least Common Multiple (LCM) of two numbers is found by taking the highest power of all prime factors involved. In this case, the prime factors are 5 and 11. $$ ext{LCM}(5, 11) = 5 imes 11$$
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Calculate the result
$$5 imes 11 = 55$$
Therefore, the LCM of 5 and 11 is 55.
The final answer is 55
More Information
The least common multiple (LCM) of any two prime numbers is simply their product.
Tips
A common mistake is to confuse LCM with Greatest Common Divisor (GCD). Remember, LCM is the smallest number divisible by both, while GCD is the largest number that divides both.
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