LCM for 225 and 300

"Least Common Multiple" Calculator

Least Common Multiple of

and

What's the Least Common Multiple (LCM) of 225 and 300?

Answer: LCM of 225 and 300 is 900

(Nine hundred)

Finding LCM for 225 and 300 using GCF's of these numbers

The first method to find LCM for numbers 225 and 300 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

LCM = (Number1 × Number2) ÷ GCF

GCF of numbers 225 and 300 is 75, so

LCM = (225 × 300) ÷ 75

LCM = 67500 ÷ 75

LCM = 900

Finding LCM for 225 and 300 by Listing Multiples

The second method to find LCM for numbers 225 and 300 is to list out the common multiples for both nubmers and pick the first which matching:

Multiples of 225: 225, 450, 675, 900, 1125, 1350

Multiples of 300: 300, 600, 900, 1200, 1500

So the LCM for 225 and 300 is 900

Finding LCM for 225 and 300 by Prime Factorization

Another method to find LCM for numbers 225 and 300 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:

All Prime Factors of 225: 3, 3, 5, 5 (exponent form: 32, 52)

All Prime Factors of 300: 2, 2, 3, 5, 5 (exponent form: 22, 31, 52)

32 × 52 × 22 = 900

See Also

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 225 and 300? (The answer is: 900). Select the first number (e.g. '225') 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
2103002100
21130063300
21230015900
21330021300
21430032100
21530012900
2163005400
21730065100
21830032700
21930021900
2203003300
22130066300
22230011100
22330066900
22430016800
225300900
22630033900
22730068100
2283005700
22930068700
2303006900
23130023100
23230017400
23330069900
23430011700
23530014100
23630017700
23730023700
23830035700
23930071700

FAQ

What's the Least Common Multiple (LCM) of 225 and 300?

LCM of 225 and 300 is 900

See Also