LCM for 200 and 300

"Least Common Multiple" Calculator

Least Common Multiple of

and

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 = 60000 ÷ 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

Least Common Multiple of

and

LCM Table

Number 1Number 2LCM
20028511400
20028628600
20028757400
2002887200
20028957800
2002905800
20029158200
20029214600
20029358600
20029429400
20029511800
2002967400
20029759400
20029829800
20029959800
200300600
20030160200
20030230200
20030360600
2003047600
20030512200
20030630600
20030761400
20030815400
20030961800
2003106200
20031162200
2003127800
20031362600
20031431400

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