LCM for 135 and 225

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What's the Least Common Multiple (LCM) of 135 and 225?

Answer

LCM of 135 and 225 is
675

(Six hundred seventy-five)

Finding LCM for 135 and 225 using GCF of these numbers

The first method to find LCM for numbers 135 and 225 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

LCM = (Number1 × Number2) ÷ GCF

GCF of numbers 135 and 225 is 45, so

LCM = (135 × 225) ÷ 45

LCM = 30,375 ÷ 45

LCM = 675

Finding LCM for 135 and 225 by Listing Multiples

The second method to find LCM for numbers 135 and 225 is to list out the common multiples for both numbers and pick the first one that matches:

Multiples of 135: 135, 270, 405, 540, 675, 810, 945

Multiples of 225: 225, 450, 675, 900, 1,125

So the LCM for 135 and 225 is 675

Finding LCM for 135 and 225 by Prime Factorization

Another method to find LCM for numbers 135 and 225 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:

All Prime Factors of 135: 3, 3, 3, 5 (exponent form: 33, 51)

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

33 × 52 = 675

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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 135 and 225? (The answer is: 675). Select the first number (e.g. '135') and the second number (e.g. '225'). 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
1352101,890
13521128,485
13521228,620
1352139,585
13521428,890
1352155,805
1352161,080
13521729,295
13521829,430
1352199,855
1352205,940
13522129,835
1352229,990
13522330,105
13522430,240
135225675
13522630,510
13522730,645
13522810,260
13522930,915
1352306,210
13523110,395
13523231,320
13523331,455
1352343,510
1352356,345
13523631,860
13523710,665
13523832,130
13523932,265

FAQ

What's the Least Common Multiple (LCM) of 135 and 225?

LCM of 135 and 225 is 675

How to find the LCM of 135 and 225 using prime factorization?

To find the LCM of 135 and 225, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 675.

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 135 and 225: LCM = 675, GCF = 45.

See Also