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LCM for 20 and 230

"Least Common Multiple" Calculator

Least Common Multiple of

and

What's the Least Common Multiple (LCM) of 20 and 230?

Answer

LCM of 20 and 230 is 460

(Four hundred sixty)

Finding LCM for 20 and 230 using GCF of these numbers

The first method to find LCM for numbers 20 and 230 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

LCM = (Number1 × Number2) ÷ GCF

GCF of numbers 20 and 230 is 10, so

LCM = (20 × 230) ÷ 10

LCM = 4600 ÷ 10

LCM = 460

Finding LCM for 20 and 230 by Listing Multiples

The second method to find LCM for numbers 20 and 230 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

Multiples of 230: 230, 460, 690, 920

So the LCM for 20 and 230 is 460

Finding LCM for 20 and 230 by Prime Factorization

Another method to find LCM for numbers 20 and 230 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 230: 2, 5, 23 (exponent form: 21, 51, 231)

22 × 51 × 231 = 460

Related Calculations

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What is the LCM of 20 and 230?. Find the LCM of 20 and 230 - the smallest common multiple of two integers.
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LCM Table

Number 1Number 2LCM
5230230
6230690
72301610
8230920
92302070
10230230
112302530
122301380
132302990
142301610
15230690
162301840
172303910
182302070
192304370
20230460
212304830
222302530
23230230
242302760
252301150
262302990
272306210
282303220
292306670
30230690
312307130
322303680
332307590
342303910

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 230? (The answer is: 460). Select the first number (e.g. '20') and the second number (e.g. '230'). 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

FAQ

What's the Least Common Multiple (LCM) of 20 and 230?

LCM of 20 and 230 is 460

How to find the LCM of 20 and 230 using prime factorization?

To find the LCM of 20 and 230, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 460.

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 230: LCM = 460, GCF = 10.

See Also