LCM for 20 and 285

"Least Common Multiple" Calculator

Least Common Multiple of

and

What's the Least Common Multiple (LCM) of 20 and 285?

Answer

LCM of 20 and 285 is 1,140

(One thousand, one hundred forty)

Finding LCM for 20 and 285 using GCF of these numbers

The first method to find LCM for numbers 20 and 285 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

LCM = (Number1 × Number2) ÷ GCF

GCF of numbers 20 and 285 is 5, so

LCM = (20 × 285) ÷ 5

LCM = 5700 ÷ 5

LCM = 1140

Finding LCM for 20 and 285 by Listing Multiples

The second method to find LCM for numbers 20 and 285 is to list out the common multiples for both numbers and pick the first one that matches:

Multiples of 20: 20, 40, 60, 80, 100, 120, 140, 160, 180, 200, 220, 240, 260, 280, 300, 320, 340, 360, 380, 400, 420, 440, 460, 480, 500, 520, 540, 560, 580, 600, 620, 640, 660, 680, 700, 720, 740, 760, 780, 800, 820, 840, 860, 880, 900, 920, 940, 960, 980, 1000, 1020, 1040, 1060, 1080, 1100, 1120, 1140, 1160, 1180

Multiples of 285: 285, 570, 855, 1140, 1425, 1710

So the LCM for 20 and 285 is 1140

Finding LCM for 20 and 285 by Prime Factorization

Another method to find LCM for numbers 20 and 285 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:

All Prime Factors of 20: 2, 2, 5 (exponent form: 22, 51)

All Prime Factors of 285: 3, 5, 19 (exponent form: 31, 51, 191)

22 × 51 × 31 × 191 = 1140

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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 20 and 285? (The answer is: 1140). Select the first number (e.g. '20') and the second number (e.g. '285'). 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
5285285
6285570
72851995
82852280
9285855
10285570
112853135
122851140
132853705
142853990
15285285
162854560
172854845
182851710
19285285
202851140
212851995
222856270
232856555
242852280
252851425
262857410
272852565
282857980
292858265
30285570
312858835
322859120
332853135
342859690

FAQ

What's the Least Common Multiple (LCM) of 20 and 285?

LCM of 20 and 285 is 1,140

How to find the LCM of 20 and 285 using prime factorization?

To find the LCM of 20 and 285, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 1,140.

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 20 and 285: LCM = 1,140, GCF = 5.

See Also