LCM for 200 and 500

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What's the Least Common Multiple (LCM) of 200 and 500?

Answer

LCM of 200 and 500 is
1,000

(One thousand)

Finding LCM for 200 and 500 using GCF of these numbers

The first method to find LCM for numbers 200 and 500 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

LCM = (Number1 × Number2) ÷ GCF

GCF of numbers 200 and 500 is 100, so

LCM = (200 × 500) ÷ 100

LCM = 100,000 ÷ 100

LCM = 1,000

Finding LCM for 200 and 500 by Listing Multiples

The second method to find LCM for numbers 200 and 500 is to list out the common multiples for both numbers and pick the first one that matches:

Multiples of 200: 200, 400, 600, 800, 1,000, 1,200, 1,400

Multiples of 500: 500, 1,000, 1,500, 2,000

So the LCM for 200 and 500 is 1,000

Finding LCM for 200 and 500 by Prime Factorization

Another method to find LCM for numbers 200 and 500 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:

All Prime Factors of 200: 2, 2, 2, 5, 5 (exponent form: 23, 52)

All Prime Factors of 500: 2, 2, 5, 5, 5 (exponent form: 22, 53)

23 × 53 = 1,000

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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 200 and 500? (The answer is: 1,000). Select the first number (e.g. '200') 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
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LCM Table

Number 1Number 2LCM
20048519,400
20048648,600
20048797,400
20048812,200
20048997,800
2004909,800
20049198,200
20049224,600
20049398,600
20049449,400
20049519,800
20049612,400
20049799,400
20049849,800
20049999,800
2005001,000
200501100,200
20050250,200
200503100,600
20050412,600
20050520,200
20050650,600
200507101,400
20050825,400
200509101,800
20051010,200
200511102,200
20051212,800
200513102,600
20051451,400

FAQ

What's the Least Common Multiple (LCM) of 200 and 500?

LCM of 200 and 500 is 1,000

How to find the LCM of 200 and 500 using prime factorization?

To find the LCM of 200 and 500, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 1,000.

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 200 and 500: LCM = 1,000, GCF = 100.

See Also