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