Determine the lowest common multiple of 3 and 5

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baxthum8's profile pic

baxthum8 | High School Teacher | (Level 3) Associate Educator

Posted on

The lowest common multiple is the smallest (non-zero) multiple that is a multiple of 2 or more numbers.

Multiples of 3 are: 3, 6, 9, 12, 15, 18, 21, 24, 27, 30, ...

Multiples of 5 are: 5, 10, 15, 20, 25, 30, 35, 40, 45, ...

Notice that both 15 and 30 are common multiples.

Solution: 15 is the lowest common multiple of 3 and 5.

justaguide's profile pic

justaguide | College Teacher | (Level 2) Distinguished Educator

Posted on

The numbers 3 and 5 do not have any common prime factors.

The lowest common multiple of the two is the smallest number that is a multiple of 3 as well as 5.

This is equal to 3*5 = 15

15 is the lowest common multiple of 3 and 5

malkaam's profile pic

malkaam | Student, Undergraduate | (Level 1) Valedictorian

Posted on

Determine the lowest common multiple of 3 and 5

Easiest way is to list out multiples of both and find the common one, that will be our least common multiple,

3 = 3  6  9  12  15  18

5 = 5  10  15  20  25  30

You can see from the above multiples that 15 is the LCM.

nisarg's profile pic

nisarg | Student, Grade 11 | (Level 1) Valedictorian

Posted on

3: 3 6 9 12 15 18 21 24 27 30 33 36 

5: 5 10 15 20 25 30 35

so 15 is the lowest common multiple

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