What is the lowest common multiple of 14 and 4?


Quick Answer

The lowest common multiple of 14 and 4 is 28 because 14 multiplied by 2 equals 28, and 4 multiplied by 7 equals 28. The lowest common multiple is "the smallest positive number that is a multiple of two or more numbers" as stated by Math is Fun, and is found through trial and error.

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Full Answer

To find the common multiple for two numbers, a person should first list the multiples of each number. For 14, this would be 14, 28, 42, 56, etc. For 4, this would be 4, 8, 12, 16, 20, 24, 26, 28, 32, 36, 40, etc. The person then needs to find the common values, which are the "same" values. From here, the least common multiple is chosen. For 14 and 4, the smallest number that they share together is 28. Therefore, the answer is 28.

A second example would be finding the least common multiple for 3 and 5. When listing the multiples for 3 and 5, a person will find that the least common multiple or the smallest common multiple between the two is 15. Therefore, the answer is 15. Remember that a multiple is a number that is multiplied by another number (not zero). A person can create a multiple list by multiplying the number (such as 4) as many times as they need. A multiple list is infinite.

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