Identify the lowest common multiple (LCM) of 2 numbers
Home / 6th grade / Number / Multiples Factors Primes / Lowest common multiples
The lowest common multiple (LCM) of two numbers is the smallest multiple that both numbers have in common. To find the lowest common multiple, write out the multiples of each number until you find a common multiple. The smallest multiple that they share is the LCM.
For example, to find the LCM of 6 and 8:
Multiples of 6: 6, 12, 18, 24, 30, 36, 42, 48, 54, 60, ...
Multiples of 8: 8, 16, 24, 32, 40, 48, 56, 64, 72, 80, ...
We can see that 24 is the smallest multiple that 6 and 8 share, so the LCM of 6 and 8 is 24.
Here's another example. Find the LCM of 12 and 18:
Multiples of 12: 12, 24, 36, 48, 60, 72, 84, 96, 108, 120, ...
Multiples of 18: 18, 36, 54, 72, 90, 108, 126, 144, 162, 180, ...
We can see that 36 is the smallest common multiple of 12 and 18, so the LCM of 12 and 18 is 36.
It's important to note that this method can become more time-consuming and difficult when dealing with larger numbers, which is why methods such as prime factorization and product notation are often used for finding the LCM of larger numbers.
In this topic you are asked to find the lowest common multiple of pairs of numbers between 3 and 40.
Below is a table showing the first 7 question answer pairs for the topic "Lowest common multiples" as used in the lessons for this topic. Our games and tests for the topic use these 7 items plus 10 additional question answer pairs.
The topic "Lowest common multiples" is in the category Number for 6th grade (ages 11 to 12).
Home / 6th grade / Number / Multiples Factors Primes / Lowest common multiples
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