LCM for 17 and 24

"Least Common Multiple" Calculator

Least Common Multiple of

and

What's the Least Common Multiple (LCM) of 17 and 24?

Answer

LCM of 17 and 24 is 408

(Four hundred eight)

Finding LCM for 17 and 24 using GCF of these numbers

The first method to find LCM for numbers 17 and 24 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

LCM = (Number1 × Number2) ÷ GCF

GCF of numbers 17 and 24 is 1, so

LCM = (17 × 24) ÷ 1

LCM = 408 ÷ 1

LCM = 408

Finding LCM for 17 and 24 by Listing Multiples

The second method to find LCM for numbers 17 and 24 is to list out the common multiples for both numbers and pick the first one that matches:

Multiples of 17: 17, 34, 51, 68, 85, 102, 119, 136, 153, 170, 187, 204, 221, 238, 255, 272, 289, 306, 323, 340, 357, 374, 391, 408, 425, 442

Multiples of 24: 24, 48, 72, 96, 120, 144, 168, 192, 216, 240, 264, 288, 312, 336, 360, 384, 408, 432, 456

So the LCM for 17 and 24 is 408

Finding LCM for 17 and 24 by Prime Factorization

Another method to find LCM for numbers 17 and 24 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:

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

All Prime Factors of 24: 2, 2, 2, 3 (exponent form: 23, 31)

171 × 23 × 31 = 408

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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 17 and 24? (The answer is: 408). Select the first number (e.g. '17') and the second number (e.g. '24'). 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
22424
32424
42424
524120
62424
724168
82424
92472
1024120
1124264
122424
1324312
1424168
1524120
162448
1724408
182472
1924456
2024120
2124168
2224264
2324552
242424
2524600
2624312
2724216
2824168
2924696
3024120
3124744

FAQ

What's the Least Common Multiple (LCM) of 17 and 24?

LCM of 17 and 24 is 408

How to find the LCM of 17 and 24 using prime factorization?

To find the LCM of 17 and 24, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 408.

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 17 and 24: LCM = 408, GCF = 1.

See Also