LCM for 20 and 500

"Least Common Multiple" Calculator

Least Common Multiple of

and

What's the Least Common Multiple (LCM) of 20 and 500?

Answer

LCM of 20 and 500 is 500

(Five hundred)

Finding LCM for 20 and 500 using GCF of these numbers

The first method to find LCM for numbers 20 and 500 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

LCM = (Number1 × Number2) ÷ GCF

GCF of numbers 20 and 500 is 20, so

LCM = (20 × 500) ÷ 20

LCM = 10000 ÷ 20

LCM = 500

Finding LCM for 20 and 500 by Listing Multiples

The second method to find LCM for numbers 20 and 500 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

Multiples of 500: 500, 1000, 1500

So the LCM for 20 and 500 is 500

Finding LCM for 20 and 500 by Prime Factorization

Another method to find LCM for numbers 20 and 500 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 500: 2, 2, 5, 5, 5 (exponent form: 22, 53)

22 × 53 = 500

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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 500? (The answer is: 500). Select the first number (e.g. '20') and the second number (e.g. '500'). 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
5500500
65001500
75003500
85001000
95004500
10500500
115005500
125001500
135006500
145003500
155001500
165002000
175008500
185004500
195009500
20500500
2150010500
225005500
2350011500
245003000
25500500
265006500
2750013500
285003500
2950014500
305001500
3150015500
325004000
3350016500
345008500

FAQ

What's the Least Common Multiple (LCM) of 20 and 500?

LCM of 20 and 500 is 500

How to find the LCM of 20 and 500 using prime factorization?

To find the LCM of 20 and 500, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 500.

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 500: LCM = 500, GCF = 20.

See Also