LCM for 8 and 25

"Least Common Multiple" Calculator

Least Common Multiple of

and

What's the Least Common Multiple (LCM) of 8 and 25?

Answer

LCM of 8 and 25 is 200

(Two hundred)

Finding LCM for 8 and 25 using GCF of these numbers

The first method to find LCM for numbers 8 and 25 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

LCM = (Number1 × Number2) ÷ GCF

GCF of numbers 8 and 25 is 1, so

LCM = (8 × 25) ÷ 1

LCM = 200 ÷ 1

LCM = 200

Finding LCM for 8 and 25 by Listing Multiples

The second method to find LCM for numbers 8 and 25 is to list out the common multiples for both numbers and pick the first one that matches:

Multiples of 8: 8, 16, 24, 32, 40, 48, 56, 64, 72, 80, 88, 96, 104, 112, 120, 128, 136, 144, 152, 160, 168, 176, 184, 192, 200, 208, 216

Multiples of 25: 25, 50, 75, 100, 125, 150, 175, 200, 225, 250

So the LCM for 8 and 25 is 200

Finding LCM for 8 and 25 by Prime Factorization

Another method to find LCM for numbers 8 and 25 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:

All Prime Factors of 8: 2, 2, 2 (exponent form: 23)

All Prime Factors of 25: 5, 5 (exponent form: 52)

23 × 52 = 200

Related Calculations

See Also

About "Least Common Multiple" Calculator

This calculator will help you find the Least Common Multiple (LCM) of two numbers. For example, it can help you find out what's the Least Common Multiple (LCM) of 8 and 25? (The answer is: 200). Select the first number (e.g. '8') and the second number (e.g. '25'). After that hit the 'Calculate' button.
Least Common Multiple (LCM) also known as the Lowest Common Multiple or Smallest Common Multiple of 2 numbers - it is the smallest positive integer that is divisible by both numbers

"Least Common Multiple" Calculator

Least Common Multiple of

and

LCM Table

Number 1 Number 2 LCM
1 25 25
2 25 50
3 25 75
4 25 100
5 25 25
6 25 150
7 25 175
8 25 200
9 25 225
10 25 50
11 25 275
12 25 300
13 25 325
14 25 350
15 25 75
16 25 400
17 25 425
18 25 450
19 25 475
20 25 100
21 25 525
22 25 550
23 25 575
24 25 600
25 25 25
26 25 650
27 25 675
28 25 700
29 25 725
30 25 150

FAQ

What's the Least Common Multiple (LCM) of 8 and 25?
LCM of 8 and 25 is 200

How to find the LCM of 8 and 25 using prime factorization?
To find the LCM of 8 and 25, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 200.

What is the difference between LCM and GCF?
LCM (Least Common Multiple) is the smallest number divisible by both numbers, while GCF (Greatest Common Factor) is the largest number that divides both. For 8 and 25: LCM = 200, GCF = 1.

See Also