LCM of 87 and 145 is 435. In mathematics, the LCM of any two numbers is the value that is evenly divisible by the two values. The Least Common Multiple, or LCM, is the smallest number that can be evenly split into all of the numbers being addressed, whether they are two or more. To find the LCM of 87 and 145, you can use one of three methods: prime factorization, division, or listing multiples. The LCM of 145 and 87, as well as three techniques for computing it, can be found here.
Also read: Least common multiple
What is LCM of 87 and 145?
The answer to this question is 435. The LCM of 87 and 145 using various methods is shown in this article for your reference. The LCM of two non-zero integers, 87 and 145, is the smallest positive integer 435 which is divisible by both 87 and 145 with no remainder.
How to Find LCM of 87 and 145?
LCM of 87 and 145 can be found using three methods:
- Prime Factorisation
- Division method
- Listing the multiples
LCM of 87 and 145 Using Prime Factorisation Method
The prime factorisation of 87 and 145, respectively, is given by:
87 = (3 × 29) = 31 × 291 and
145 = (5 × 29) = 51 × 291
LCM (87, 14) = 435
LCM of 87 and 145 Using Division Method
We’ll divide the numbers (87, 145) by their prime factors to get the LCM of 87 and 145 using the division method (preferably common). The LCM of 87 and 145 is calculated by multiplying these divisors.
| 3 | 87 | 145 |
| 5 | 29 | 145 |
| 29 | 29 | 29 |
| x | 1 | 1 |
No further division can be done.
Hence, LCM (87, 14) = 435
LCM of 87 and 145 Using Listing the Multiples
To calculate the LCM of 87 and 145 by listing out the common multiples, list the multiples as shown below:
| Multiples of 87 | Multiples of 145 |
| 87 | 145 |
| 174 | 290 |
| 261 | 435 |
| 348 | 580 |
| 435 | 725 |
The smallest common multiple of 87 and 145 is 435.
LCM (87, 14) = 435
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LCM of 87 and 145 Solved Example
The GCD and LCM of two numbers are 29 and 435 respectively. If one number is 87, find the other number.
Let the other number be b.
∵ GCD × LCM = 87 × b
⇒ b = (GCD × LCM)/87
⇒ b = (29 × 435)/87
⇒ b = 145
Therefore, the other number is 145.
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