LCM for 8 and 27

"Least Common Multiple" Calculator

Least Common Multiple of

and

What's the Least Common Multiple (LCM) of 8 and 27?

Answer

LCM of 8 and 27 is 216

(Two hundred sixteen)

Finding LCM for 8 and 27 using GCF of these numbers

The first method to find LCM for numbers 8 and 27 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

LCM = (Number1 × Number2) ÷ GCF

GCF of numbers 8 and 27 is 1, so

LCM = (8 × 27) ÷ 1

LCM = 216 ÷ 1

LCM = 216

Finding LCM for 8 and 27 by Listing Multiples

The second method to find LCM for numbers 8 and 27 is to list out the common multiples for both numbers and pick the first one that matches:

Multiples of 8: 8, 16, 24, 32, 40, 48, 56, 64, 72, 80, 88, 96, 104, 112, 120, 128, 136, 144, 152, 160, 168, 176, 184, 192, 200, 208, 216, 224, 232

Multiples of 27: 27, 54, 81, 108, 135, 162, 189, 216, 243, 270

So the LCM for 8 and 27 is 216

Finding LCM for 8 and 27 by Prime Factorization

Another method to find LCM for numbers 8 and 27 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:

All Prime Factors of 8: 2, 2, 2 (exponent form: 23)

All Prime Factors of 27: 3, 3, 3 (exponent form: 33)

23 × 33 = 216

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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 8 and 27? (The answer is: 216). Select the first number (e.g. '8') and the second number (e.g. '27'). 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 1 Number 2 LCM
1 27 27
2 27 54
3 27 27
4 27 108
5 27 135
6 27 54
7 27 189
8 27 216
9 27 27
10 27 270
11 27 297
12 27 108
13 27 351
14 27 378
15 27 135
16 27 432
17 27 459
18 27 54
19 27 513
20 27 540
21 27 189
22 27 594
23 27 621
24 27 216
25 27 675
26 27 702
27 27 27
28 27 756
29 27 783
30 27 270

FAQ

What's the Least Common Multiple (LCM) of 8 and 27?
LCM of 8 and 27 is 216

How to find the LCM of 8 and 27 using prime factorization?
To find the LCM of 8 and 27, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 216.

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 8 and 27: LCM = 216, GCF = 1.

See Also