LCM for 17 and 61

"Least Common Multiple" Calculator

Least Common Multiple of

and

What's the Least Common Multiple (LCM) of 17 and 61?

Answer: LCM of 17 and 61 is 1,037

(One thousand, thirty-seven)

Finding LCM for 17 and 61 using GCF's of these numbers

The first method to find LCM for numbers 17 and 61 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

LCM = (Number1 × Number2) ÷ GCF

GCF of numbers 17 and 61 is 1, so

LCM = (17 × 61) ÷ 1

LCM = 1037 ÷ 1

LCM = 1037

Finding LCM for 17 and 61 by Listing Multiples

The second method to find LCM for numbers 17 and 61 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, 833, 850, 867, 884, 901, 918, 935, 952, 969, 986, 1003, 1020, 1037, 1054, 1071

Multiples of 61: 61, 122, 183, 244, 305, 366, 427, 488, 549, 610, 671, 732, 793, 854, 915, 976, 1037, 1098, 1159

So the LCM for 17 and 61 is 1037

Finding LCM for 17 and 61 by Prime Factorization

Another method to find LCM for numbers 17 and 61 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 61: 61 (exponent form: 611)

171 × 611 = 1037

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LCM Table

Number 1Number 2LCM
261122
361183
461244
561305
661366
761427
861488
961549
1061610
1161671
1261732
1361793
1461854
1561915
1661976
17611037
18611098
19611159
20611220
21611281
22611342
23611403
24611464
25611525
26611586
27611647
28611708
29611769
30611830
31611891

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 61? (The answer is: 1037). Select the first number (e.g. '17') and the second number (e.g. '61'). 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

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FAQ

What's the Least Common Multiple (LCM) of 17 and 61?

LCM of 17 and 61 is 1,037