What is the least common multiple of 6 and 7?

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Answer


Frida

Solution:

Concept:The least common multiple of two numbers is the smallest number which is divisible by both the numbers.

Calculation:

Step:1 The LCM of two numbers are taken by factoring out the numbers into smaller values.

Step:2 The least common multiple of 6 and 7 is calculated as shown below:

Step:3 The factored form of 6 is  and that of 7is .

Step:4 The common between the factorized value of 6 and 7 is taken as .

It can also be calculated using the method below:

Hence, the LCM is .

 

Answer:The least common multiple of 6 and 7 is 42.

 

 

Similar Problems:

 

Problem 1:What is the least common multiple of 3 and 9?

Solution:

Step:1 The LCM of two numbers are taken by factoring out the numbers into smaller values.

The least common multiple of 3 and 9 is calculated as shown below:

Step:2 The factored form of 3 is  and that of 9 is .

Step:3 The common between the factorized value of 3 and 9 is taken as .

It can also be calculated using the method below:

Hence, the LCM is .

 

Answer:The least common multiple of 3 and 9 is 9.

 

 

Problem 2:What is the least common multiple of 4 and 8?

Solution:

Step:1 The LCM of two numbers are taken by factoring out the numbers into smaller values.

Step:2 The least common multiple of 4 and 8 is calculated as shown below:

Step:3 The factored form of 4 is  and that of 8 is .

Step:4 The common between the factorized value of 4 and 8 is taken as .

It can also be calculated using the method below:

Hence, the LCM is .

 

Answer:The least common multiple of 4 and 8 is 8.

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