LCM for 6 and 17

"Least Common Multiple" Calculator

Least Common Multiple of

and

What's the Least Common Multiple (LCM) of 6 and 17?

Answer

LCM of 6 and 17 is 102

(One hundred two)

Finding LCM for 6 and 17 using GCF of these numbers

The first method to find LCM for numbers 6 and 17 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

LCM = (Number1 × Number2) ÷ GCF

GCF of numbers 6 and 17 is 1, so

LCM = (6 × 17) ÷ 1

LCM = 102 ÷ 1

LCM = 102

Finding LCM for 6 and 17 by Listing Multiples

The second method to find LCM for numbers 6 and 17 is to list out the common multiples for both numbers and pick the first one that matches:

Multiples of 6: 6, 12, 18, 24, 30, 36, 42, 48, 54, 60, 66, 72, 78, 84, 90, 96, 102, 108, 114

Multiples of 17: 17, 34, 51, 68, 85, 102, 119, 136

So the LCM for 6 and 17 is 102

Finding LCM for 6 and 17 by Prime Factorization

Another method to find LCM for numbers 6 and 17 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:

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

All Prime Factors of 17: 17 (exponent form: 171)

21 × 31 × 171 = 102

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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 6 and 17? (The answer is: 102). Select the first number (e.g. '6') and the second number (e.g. '17'). 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 17 17
2 17 34
3 17 51
4 17 68
5 17 85
6 17 102
7 17 119
8 17 136
9 17 153
10 17 170
11 17 187
12 17 204
13 17 221
14 17 238
15 17 255
16 17 272
17 17 17
18 17 306
19 17 323
20 17 340
21 17 357
22 17 374
23 17 391
24 17 408
25 17 425
26 17 442
27 17 459
28 17 476
29 17 493
30 17 510

FAQ

What's the Least Common Multiple (LCM) of 6 and 17?
LCM of 6 and 17 is 102

How to find the LCM of 6 and 17 using prime factorization?
To find the LCM of 6 and 17, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 102.

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 6 and 17: LCM = 102, GCF = 1.

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