LCM for 225 and 180

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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 = 40,500 ÷ 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
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LCM Table

Number 1Number 2LCM
2251652,475
22516637,350
22516737,575
22516812,600
22516938,025
2251707,650
2251714,275
22517238,700
22517338,925
22517413,050
2251751,575
22517639,600
22517713,275
22517840,050
22517940,275
225180900
22518140,725
22518240,950
22518313,725
22518441,400
2251858,325
22518613,950
22518742,075
22518842,300
2251894,725
2251908,550
22519142,975
22519214,400
22519343,425
22519443,650

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