LCM for 20 and 290

"Least Common Multiple" Calculator

Least Common Multiple of

and

What's the Least Common Multiple (LCM) of 20 and 290?

Answer

LCM of 20 and 290 is 580

(Five hundred eighty)

Finding LCM for 20 and 290 using GCF of these numbers

The first method to find LCM for numbers 20 and 290 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

LCM = (Number1 × Number2) ÷ GCF

GCF of numbers 20 and 290 is 10, so

LCM = (20 × 290) ÷ 10

LCM = 5800 ÷ 10

LCM = 580

Finding LCM for 20 and 290 by Listing Multiples

The second method to find LCM for numbers 20 and 290 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

Multiples of 290: 290, 580, 870, 1160

So the LCM for 20 and 290 is 580

Finding LCM for 20 and 290 by Prime Factorization

Another method to find LCM for numbers 20 and 290 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 290: 2, 5, 29 (exponent form: 21, 51, 291)

22 × 51 × 291 = 580

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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 290? (The answer is: 580). Select the first number (e.g. '20') and the second number (e.g. '290'). 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
5290290
6290870
72902030
82901160
92902610
10290290
112903190
122901740
132903770
142902030
15290870
162902320
172904930
182902610
192905510
20290580
212906090
222903190
232906670
242903480
252901450
262903770
272907830
282904060
29290290
30290870
312908990
322904640
332909570
342904930

FAQ

What's the Least Common Multiple (LCM) of 20 and 290?

LCM of 20 and 290 is 580

How to find the LCM of 20 and 290 using prime factorization?

To find the LCM of 20 and 290, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 580.

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 290: LCM = 580, GCF = 10.

See Also