What is the LCM of 17 and 46?

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What's the Least Common Multiple (LCM) of 17 and 46?

Answer: LCM of 17 and 46 is 782

(Seven hundred eighty-two)

Finding LCM for 17 and 46 using GCF's of these numbers

The first method to find LCM for numbers 17 and 46 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

LCM = (Number1 × Number2) ÷ GCF

GCF of numbers 17 and 46 is 1, so

LCM = (17 × 46) ÷ 1

LCM = 782 ÷ 1

LCM = 782

Finding LCM for 17 and 46 by Listing Multiples

The second method to find LCM for numbers 17 and 46 is to list out the common multiples for both nubmers and pick the first which matching:

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, 459, 476, 493, 510, 527, 544, 561, 578, 595, 612, 629, 646, 663, 680, 697, 714, 731, 748, 765, 782, 799, 816

Multiples of 46: 46, 92, 138, 184, 230, 276, 322, 368, 414, 460, 506, 552, 598, 644, 690, 736, 782, 828, 874

So the LCM for 17 and 46 is 782

Finding LCM for 17 and 46 by Prime Factorization

Another method to find LCM for numbers 17 and 46 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 46: 2, 23 (exponent form: 2¹, 23¹)

17¹ × 2¹ × 23¹ = 782

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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 46? (The answer is: 782). Select the first number (e.g. '17') and the second number (e.g. '46'). 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

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LCM Table

Number 1	Number 2	LCM
2	46	46
3	46	138
4	46	92
5	46	230
6	46	138
7	46	322
8	46	184
9	46	414
10	46	230
11	46	506
12	46	276
13	46	598
14	46	322
15	46	690
16	46	368
17	46	782
18	46	414
19	46	874
20	46	460
21	46	966
22	46	506
23	46	46
24	46	552
25	46	1150
26	46	598
27	46	1242
28	46	644
29	46	1334
30	46	690
31	46	1426

LCM for 17 and 46

"Least Common Multiple" Calculator

What's the Least Common Multiple (LCM) of 17 and 46?

Finding LCM for 17 and 46 using GCF's of these numbers

Finding LCM for 17 and 46 by Listing Multiples

Finding LCM for 17 and 46 by Prime Factorization

Related Calculations

See Also

About "Least Common Multiple" Calculator

"Least Common Multiple" Calculator

LCM Table

FAQ

What's the Least Common Multiple (LCM) of 17 and 46?

See Also