LCM for 9 and 6

"Least Common Multiple" Calculator

Least Common Multiple of

and

What's the Least Common Multiple (LCM) of 9 and 6?

Answer

LCM of 9 and 6 is 18

(Eighteen)

Finding LCM for 9 and 6 using GCF of these numbers

The first method to find LCM for numbers 9 and 6 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

LCM = (Number1 × Number2) ÷ GCF

GCF of numbers 9 and 6 is 3, so

LCM = (9 × 6) ÷ 3

LCM = 54 ÷ 3

LCM = 18

Finding LCM for 9 and 6 by Listing Multiples

The second method to find LCM for numbers 9 and 6 is to list out the common multiples for both numbers and pick the first one that matches:

Multiples of 9: 9, 18, 27, 36

Multiples of 6: 6, 12, 18, 24, 30

So the LCM for 9 and 6 is 18

Finding LCM for 9 and 6 by Prime Factorization

Another method to find LCM for numbers 9 and 6 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:

All Prime Factors of 9: 3, 3 (exponent form: 32)

All Prime Factors of 6: 2, 3 (exponent form: 21, 31)

32 × 21 = 18

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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 9 and 6? (The answer is: 18). Select the first number (e.g. '9') and the second number (e.g. '6'). 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 6 6
2 6 6
3 6 6
4 6 12
5 6 30
6 6 6
7 6 42
8 6 24
9 6 18
10 6 30
11 6 66
12 6 12
13 6 78
14 6 42
15 6 30
16 6 48
17 6 102
18 6 18
19 6 114
20 6 60
21 6 42
22 6 66
23 6 138
24 6 24
25 6 150
26 6 78
27 6 54
28 6 84
29 6 174
30 6 30

FAQ

What's the Least Common Multiple (LCM) of 9 and 6?
LCM of 9 and 6 is 18

How to find the LCM of 9 and 6 using prime factorization?
To find the LCM of 9 and 6, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 18.

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 9 and 6: LCM = 18, GCF = 3.

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