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 1Number 2LCM
626
6412
6530
6742
6824
6918
61030
61166
61212
61378
61442
61530
61648
617102
61818
619114
62060
62142
62266
623138
62424
625150
62678
62754
62884
63030
631186
63296
635210
63636

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.

See Also