LCM for 3 and 86

What's the Least Common Multiple (LCM) of 3 and 86?

Answer: LCM of 3 and 86 is 258

(Two hundred fifty-eight)

Finding LCM for 3 and 86 using GCF's of these numbers

The first method to find LCM for numbers 3 and 86 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

LCM = (Number1 × Number2) ÷ GCF

GCF of numbers 3 and 86 is 1, so

LCM = (3 × 86) ÷ 1

LCM = 258 ÷ 1

LCM = 258

Finding LCM for 3 and 86 by Listing Multiples

The second method to find LCM for numbers 3 and 86 is to list out the common multiples for both nubmers and pick the first which matching:

Multiples of 3: 3, 6, 9, 12, 15, 18, 21, 24, 27, 30, 33, 36, 39, 42, 45, 48, 51, 54, 57, 60, 63, 66, 69, 72, 75, 78, 81, 84, 87, 90, 93, 96, 99, 102, 105, 108, 111, 114, 117, 120, 123, 126, 129, 132, 135, 138, 141, 144, 147, 150, 153, 156, 159, 162, 165, 168, 171, 174, 177, 180, 183, 186, 189, 192, 195, 198, 201, 204, 207, 210, 213, 216, 219, 222, 225, 228, 231, 234, 237, 240, 243, 246, 249, 252, 255, 258, 261, 264

Multiples of 86: 86, 172, 258, 344, 430

So the LCM for 3 and 86 is 258

Finding LCM for 3 and 86 by Prime Factorization

Another method to find LCM for numbers 3 and 86 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:

All Prime Factors of 3: 3 (exponent form: 31)

All Prime Factors of 86: 2, 43 (exponent form: 21, 431)

31 × 21 × 431 = 258

LCM Table

Number 1Number 2LCM
18686
28686
386258
486172
586430
686258
786602
886344
986774
1086430
1186946
1286516
13861118
1486602
15861290
1686688
17861462
1886774
19861634
2086860
21861806
2286946
23861978
24861032
25862150
26861118
27862322
28861204
29862494
30861290

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 3 and 86? (The answer is: 258). Select the first number (e.g. '3') and the second number (e.g. '86'). 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

FAQ

What's the Least Common Multiple (LCM) of 3 and 86?

LCM of 3 and 86 is 258