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
1. Answer :
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.
2. Answer :
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
3. Answer :
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
4. Answer :
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
5. Answer :
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
6. Answer :
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
7. Answer :
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
8. Answer :
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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