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Online Calculators > Math Calculators
LCM of 10 and 14
What is the LCM of 10 and 14? - The LCM of 10 and 14 is 70.
Follow the step by step instructions on how to find the least common multiple of 10 and 14.
What is the least common multiple of 10 and 14?
How to find the lcm of 10 and 14?
Method 1 - Listing Multiples
To find the lcm of 10 and 14, we first need to find the multiples of 10 and 14 and then choose the least common multiple that are dividable by 10 and 14.
Multiples of 10 = 10, 20, 30, 40, 50, 60, 70
Multiples of 14 = 14, 28, 42, 56, 70
The least common multiple of 10 and 14 is 70, because 70 is the smallest number that is divisible by both 10 and 14.
Method 2 - Prime Factorization
Another method to find the least common multiple of 10 and 14 is by using the prime factorization method.
To use prime factorization, we first need to find the prime factors of 10 and 14, 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 14 = 2 x 7
Prime factors to the highest power = 2 x 5 x 7 = 70
LCM of 9 and 14
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