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
18530011100
1863009300
18730056100
18830014100
18930018900
1903005700
19130057300
1923004800
19330057900
19430029100
1953003900
19630014700
19730059100
1983009900
19930059700
200300600
20130020100
20230030300
20330060900
2043005100
20530012300
20630030900
20730020700
20830015600
20930062700
2103002100
21130063300
21230015900
21330021300
21430032100

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