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Online Calculators > Math Calculators
LCM of 10 and 11
What is the LCM of 10 and 11? - The LCM of 10 and 11 is 110.
Follow the step by step instructions on how to find the least common multiple of 10 and 11.
What is the least common multiple of 10 and 11?
How to find the lcm of 10 and 11?
Method 1 - Listing Multiples
To find the lcm of 10 and 11, we first need to find the multiples of 10 and 11 and then choose the least common multiple that are dividable by 10 and 11.
Multiples of 10 = 10, 20, 30, 40, 50, 60, 70, 80, 90, 100, 110
Multiples of 11 = 11, 22, 33, 44, 55, 66, 77, 88, 99, 110
The least common multiple of 10 and 11 is 110, because 110 is the smallest number that is divisible by both 10 and 11.
Method 2 - Prime Factorization
Another method to find the least common multiple of 10 and 11 is by using the prime factorization method.
To use prime factorization, we first need to find the prime factors of 10 and 11, and then get the LCM by multiplying the prime factors that are rasied to their highest power from the two sets.
Prime factorization of 10 = 2 x 5
Prime factorization of 11 = 11
Prime factors to the highest power = 11 x 2 x 5 = 110
LCM of 9 and 11
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