LCM for 200 and 300

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What's the Least Common Multiple (LCM) of 200 and 300?

Answer

LCM of 200 and 300 is
600

(Six hundred)

Finding LCM for 200 and 300 using GCF of these numbers

The first method to find LCM for numbers 200 and 300 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

LCM = (Number1 × Number2) ÷ GCF

GCF of numbers 200 and 300 is 100, so

LCM = (200 × 300) ÷ 100

LCM = 60,000 ÷ 100

LCM = 600

Finding LCM for 200 and 300 by Listing Multiples

The second method to find LCM for numbers 200 and 300 is to list out the common multiples for both numbers and pick the first one that matches:

Multiples of 200: 200, 400, 600, 800, 1000

Multiples of 300: 300, 600, 900, 1200

So the LCM for 200 and 300 is 600

Finding LCM for 200 and 300 by Prime Factorization

Another method to find LCM for numbers 200 and 300 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 300: 2, 2, 3, 5, 5 (exponent form: 22, 31, 52)

23 × 52 × 31 = 600

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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 300? (The answer is: 600). Select the first number (e.g. '200') and the second number (e.g. '300'). 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
20028511,400
20028628,600
20028757,400
2002887,200
20028957,800
2002905,800
20029158,200
20029214,600
20029358,600
20029429,400
20029511,800
2002967,400
20029759,400
20029829,800
20029959,800
200300600
20030160,200
20030230,200
20030360,600
2003047,600
20030512,200
20030630,600
20030761,400
20030815,400
20030961,800
2003106,200
20031162,200
2003127,800
20031362,600
20031431,400

FAQ

What's the Least Common Multiple (LCM) of 200 and 300?

LCM of 200 and 300 is 600

How to find the LCM of 200 and 300 using prime factorization?

To find the LCM of 200 and 300, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 600.

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 300: LCM = 600, GCF = 100.

See Also