LCM for 200 and 250

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What's the Least Common Multiple (LCM) of 200 and 250?

Answer

LCM of 200 and 250 is
1,000

(One thousand)

Finding LCM for 200 and 250 using GCF of these numbers

The first method to find LCM for numbers 200 and 250 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

LCM = (Number1 × Number2) ÷ GCF

GCF of numbers 200 and 250 is 50, so

LCM = (200 × 250) ÷ 50

LCM = 50,000 ÷ 50

LCM = 1,000

Finding LCM for 200 and 250 by Listing Multiples

The second method to find LCM for numbers 200 and 250 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 250: 250, 500, 750, 1,000, 1,250, 1,500

So the LCM for 200 and 250 is 1,000

Finding LCM for 200 and 250 by Prime Factorization

Another method to find LCM for numbers 200 and 250 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 250: 2, 5, 5, 5 (exponent form: 21, 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 250? (The answer is: 1,000). Select the first number (e.g. '200') and the second number (e.g. '250'). 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
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LCM Table

Number 1Number 2LCM
2002359,400
20023611,800
20023747,400
20023823,800
20023947,800
2002401,200
20024148,200
20024224,200
20024348,600
20024412,200
2002459,800
20024624,600
20024749,400
2002486,200
20024949,800
2002501,000
20025150,200
20025212,600
20025350,600
20025425,400
20025510,200
2002566,400
20025751,400
20025825,800
20025951,800
2002602,600
20026152,200
20026226,200
20026352,600
2002646,600

FAQ

What's the Least Common Multiple (LCM) of 200 and 250?

LCM of 200 and 250 is 1,000

How to find the LCM of 200 and 250 using prime factorization?

To find the LCM of 200 and 250, 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 250: LCM = 1,000, GCF = 50.

See Also