LCM of 9 and 4 is equal to 36. The comprehensive work provides more insight of how to find what is the lcm of 9 and 4 by using prime factors and special division methods, and the example use case of mathematics and real world problems.
what is the lcm of 9 and 4?
lcm (9 4) = (?)
9 => 3 x 3
4 => 2 x 2
= 3 x 3 x 2 x 2
= 36
lcm (9 and 4) = 36
36 is the lcm of 9 and 4.
where,
9 is a positive integer,
4 is a positive integer,
36 is the lcm of 9 and 4,
There is no common factors of 9 and 4 in {3 x 3, 2 x 2},
{3 x 3 x 2 x 2} in {3 x 3, 2 x 2} are the uncommon factors of 9 and 4.
Use in Mathematics: LCM of 9 and 4
The below are some of the mathematical applications where lcm of 9 and 4 can be used:
The below solved example with step by step work shows how to find what is the lcm of 9 and 4 by using prime factors method and division method.
Solved example using prime factors method:
What is the LCM of 9 and 4?
step 1
Address the input parameters, values and observe what to be found:
Input parameters and values:
A = 9
B = 4
What to be found:
find the lcm of 9 and 4
step 2 Find the prime factors of 9 and 4:
Prime factors of 9 = 3 x 3
Prime factors of 4 = 2 x 2
step 3Identify the repeated and non-repeated prime factors of 9 and 4:
Since there is no common factors between 9 and 4, multiplying the given numbers directly provides the LCM of
9 and 4.
= 9 x 4
= 36
lcm(9 and 4) = 36
Hence,
lcm of 9 and 4 is 36
2 | 9 | 4 |
2 | 9 | 2 |
3 | 9 | 1 |
3 | 3 | 1 |
1 | 1 |