LCM for 225 and 315

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What's the Least Common Multiple (LCM) of 225 and 315?

Answer

LCM of 225 and 315 is
1,575

(One thousand five hundred seventy-five)

Finding LCM for 225 and 315 using GCF of these numbers

The first method to find LCM for numbers 225 and 315 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

LCM = (Number1 × Number2) ÷ GCF

GCF of numbers 225 and 315 is 45, so

LCM = (225 × 315) ÷ 45

LCM = 70,875 ÷ 45

LCM = 1,575

Finding LCM for 225 and 315 by Listing Multiples

The second method to find LCM for numbers 225 and 315 is to list out the common multiples for both numbers and pick the first one that matches:

Multiples of 225: 225, 450, 675, 900, 1,125, 1,350, 1,575, 1,800, 2,025

Multiples of 315: 315, 630, 945, 1,260, 1,575, 1,890, 2,205

So the LCM for 225 and 315 is 1,575

Finding LCM for 225 and 315 by Prime Factorization

Another method to find LCM for numbers 225 and 315 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 315: 3, 3, 5, 7 (exponent form: 32, 51, 71)

32 × 52 × 71 = 1,575

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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 315? (The answer is: 1,575). Select the first number (e.g. '225') and the second number (e.g. '315'). 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
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LCM Table

Number 1Number 2LCM
225300900
22530167,725
22530267,950
22530322,725
22530468,400
22530513,725
2253067,650
22530769,075
22530869,300
22530923,175
22531013,950
22531169,975
22531223,400
22531370,425
22531470,650
2253151,575
22531671,100
22531771,325
22531823,850
22531971,775
22532014,400
22532124,075
22532272,450
22532372,675
2253248,100
2253252,925
22532673,350
22532724,525
22532873,800
22532974,025

FAQ

What's the Least Common Multiple (LCM) of 225 and 315?

LCM of 225 and 315 is 1,575

How to find the LCM of 225 and 315 using prime factorization?

To find the LCM of 225 and 315, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 1,575.

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 315: LCM = 1,575, GCF = 45.

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