LCM for 8 and 100

"Least Common Multiple" Calculator

Least Common Multiple of

and

What's the Least Common Multiple (LCM) of 8 and 100?

Answer

LCM of 8 and 100 is 200

(Two hundred)

Finding LCM for 8 and 100 using GCF of these numbers

The first method to find LCM for numbers 8 and 100 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

LCM = (Number1 × Number2) ÷ GCF

GCF of numbers 8 and 100 is 4, so

LCM = (8 × 100) ÷ 4

LCM = 800 ÷ 4

LCM = 200

Finding LCM for 8 and 100 by Listing Multiples

The second method to find LCM for numbers 8 and 100 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 100: 100, 200, 300, 400

So the LCM for 8 and 100 is 200

Finding LCM for 8 and 100 by Prime Factorization

Another method to find LCM for numbers 8 and 100 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 100: 2, 2, 5, 5 (exponent form: 22, 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 100? (The answer is: 200). Select the first number (e.g. '8') and the second number (e.g. '100'). 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
1 100 100
2 100 100
3 100 300
4 100 100
5 100 100
6 100 300
7 100 700
8 100 200
9 100 900
10 100 100
11 100 1100
12 100 300
13 100 1300
14 100 700
15 100 300
16 100 400
17 100 1700
18 100 900
19 100 1900
20 100 100
21 100 2100
22 100 1100
23 100 2300
24 100 600
25 100 100
26 100 1300
27 100 2700
28 100 700
29 100 2900
30 100 300

FAQ

What's the Least Common Multiple (LCM) of 8 and 100?
LCM of 8 and 100 is 200

How to find the LCM of 8 and 100 using prime factorization?
To find the LCM of 8 and 100, 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 100: LCM = 200, GCF = 4.

See Also