# LEAST COMMON MULTIPLE OF PRIME NUMBERS WORKSHEET

In each case, find the least common multiple of the given numbers.

Problem 1 :

2 and 3

Problem 2 :

3 and 5

Problem 3 :

5 and 7

Problem 4 :

11 and 13

Problem 5 :

17 and 19

Problem 6 :

23 and 29

Problem 7 :

2, 3 and 5

Problem 8 :

5, 7, 11 and 13

2 and 3

The numbers 2 and 3 are prime numbers.

Therefore, the least common multiple of 2 and 3 is

= 2 x 3

= 6

Note :

To get the least common multiple of two or more prime numbers, we have to multiply them and the product is the least common multiple.

3 and 5

The numbers 3 and 5 are prime numbers.

Therefore, the least common multiple of 3 and 5 is

= 3 x 5

= 15

5 and 7

The numbers 5 and 7 are prime numbers.

Therefore, the least common multiple of 5 and 7 is

= 5 x 7

= 35

11 and 13

The numbers 11 and 13 are prime numbers.

Therefore, the least common multiple of 11 and 13 is

= 11 x 13

= 143

17 and 19

The numbers 17 and 19 are prime numbers.

Therefore, the least common multiple of 17 and 19 is

= 17 x 19

= 323

23 and 29

The numbers 23 and 29 are prime numbers.

Therefore, the least common multiple of 23 and 29 is

= 23 x 29

= 667

2, 3 and 5

The numbers 2, 3 and 5 are prime numbers.

Therefore, the least common multiple of 2, 3 and 5 is

= 2 x 3 x 5

= 30

5, 7, 11 and 13

The numbers 5, 7, 11 and 13 are prime numbers.

Therefore, the least common multiple of 5, 7, 11 and 13 is

= 5 x 7 x 11 x 13

= 5005

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