LCM for 225 and 180

"Least Common Multiple" Calculator

Least Common Multiple of

and

What's the Least Common Multiple (LCM) of 225 and 180?

Answer

LCM of 225 and 180 is
900

(Nine hundred)

Finding LCM for 225 and 180 using GCF of these numbers

The first method to find LCM for numbers 225 and 180 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

LCM = (Number1 × Number2) ÷ GCF

GCF of numbers 225 and 180 is 45, so

LCM = (225 × 180) ÷ 45

LCM = 40500 ÷ 45

LCM = 900

Finding LCM for 225 and 180 by Listing Multiples

The second method to find LCM for numbers 225 and 180 is to list out the common multiples for both numbers and pick the first one that matches:

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

Multiples of 180: 180, 360, 540, 720, 900, 1080, 1260

So the LCM for 225 and 180 is 900

Finding LCM for 225 and 180 by Prime Factorization

Another method to find LCM for numbers 225 and 180 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 180: 2, 2, 3, 3, 5 (exponent form: 22, 32, 51)

32 × 52 × 22 = 900

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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 225 and 180? (The answer is: 900). Select the first number (e.g. '225') and the second number (e.g. '180'). 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
2251652475
22516637350
22516737575
22516812600
22516938025
2251707650
2251714275
22517238700
22517338925
22517413050
2251751575
22517639600
22517713275
22517840050
22517940275
225180900
22518140725
22518240950
22518313725
22518441400
2251858325
22518613950
22518742075
22518842300
2251894725
2251908550
22519142975
22519214400
22519343425
22519443650

FAQ

What's the Least Common Multiple (LCM) of 225 and 180?

LCM of 225 and 180 is 900

How to find the LCM of 225 and 180 using prime factorization?

To find the LCM of 225 and 180, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 900.

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 225 and 180: LCM = 900, GCF = 45.

See Also