LCM of 35 and 45 is 315. The LCM of any two integers in mathematics is the value that is evenly divisible by the two values. The smallest positive integer that divides the numbers 35 and 45 without leaving a residual is the lcm of 35 and 45. It is the least common multiple of 35 and 45 when written out. The lcm of 35 and 45 may be found here, as well as three techniques for computing it. There are three typical ways for calculating the LCM of 35 and 45: division, prime factorization, and listing multiples.
Also read: Least common multiple
What is LCM of 35 and 45?
The answer to this question is 315. The LCM of 35 and 45 using various methods is shown in this article for your reference. The LCM of two non-zero integers, 35 and 45, is the smallest positive integer 315 which is divisible by both 35 and 45 with no remainder.
How to Find LCM of 35 and 45?
LCM of 35 and 45 can be found using three methods:
- Prime Factorisation
- Division method
- Listing the multiples
LCM of 35 and 45 Using Prime Factorisation Method
The prime factorisation of 35 and 45, respectively, is given by:
35 = 5 x 7
45 = 3 x 3 x 5
LCM (35, 45) = 315
LCM of 35 and 45 Using Division Method
We’ll divide the numbers (35, 45) by their prime factors to get the LCM of 35 and 45 using the division method (preferably common). The LCM of 35 and 45 is calculated by multiplying these divisors.
|
5 |
35 |
45 |
|
3 |
7 |
9 |
|
3 |
7 |
3 |
|
7 |
7 |
1 |
|
x |
1 |
1 |
No further division can be done.
Hence, LCM (35, 45) = 315
LCM of 35 and 45 Using Listing the Multiples
To calculate the LCM of 35 and 45 by listing out the common multiples, list the multiples as shown below
|
Multiples of 35 |
Multiples of 45 |
|
35 |
45 |
|
70 |
90 |
|
105 |
135 |
|
140 |
180 |
|
175 |
225 |
|
210 |
270 |
|
245 |
315 |
|
280 |
– |
|
315 |
– |
The smallest common multiple of 35 and 45 is 315.
LCM (35, 45) = 315
Related Articles
Video Lesson on Applications of LCM
LCM of 35 and 45 Solved Example
The product of two numbers is 1575. If their GCF is 5, what is their LCM?
Solution:
Given: GCF = 5 and product of numbers = 1575
∵ LCM × GCF = product of numbers
⇒ LCM = Product/GCF = 1575/5
Therefore, the LCM is 315.
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