LCM for 18 and 81

"Least Common Multiple" Calculator

Least Common Multiple of

and

What's the Least Common Multiple (LCM) of 18 and 81?

Answer

LCM of 18 and 81 is 162

(One hundred sixty-two)

Finding LCM for 18 and 81 using GCF of these numbers

The first method to find LCM for numbers 18 and 81 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

LCM = (Number1 × Number2) ÷ GCF

GCF of numbers 18 and 81 is 9, so

LCM = (18 × 81) ÷ 9

LCM = 1458 ÷ 9

LCM = 162

Finding LCM for 18 and 81 by Listing Multiples

The second method to find LCM for numbers 18 and 81 is to list out the common multiples for both numbers and pick the first one that matches:

Multiples of 18: 18, 36, 54, 72, 90, 108, 126, 144, 162, 180, 198

Multiples of 81: 81, 162, 243, 324

So the LCM for 18 and 81 is 162

Finding LCM for 18 and 81 by Prime Factorization

Another method to find LCM for numbers 18 and 81 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:

All Prime Factors of 18: 2, 3, 3 (exponent form: 21, 32)

All Prime Factors of 81: 3, 3, 3, 3 (exponent form: 34)

21 × 34 = 162

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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 18 and 81? (The answer is: 162). Select the first number (e.g. '18') and the second number (e.g. '81'). 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

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LCM Table

Number 1 Number 2 LCM
3 81 81
4 81 324
5 81 405
6 81 162
7 81 567
8 81 648
9 81 81
10 81 810
11 81 891
12 81 324
13 81 1053
14 81 1134
15 81 405
16 81 1296
17 81 1377
18 81 162
19 81 1539
20 81 1620
21 81 567
22 81 1782
23 81 1863
24 81 648
25 81 2025
26 81 2106
27 81 81
28 81 2268
29 81 2349
30 81 810
31 81 2511
32 81 2592

FAQ

What's the Least Common Multiple (LCM) of 18 and 81?
LCM of 18 and 81 is 162

How to find the LCM of 18 and 81 using prime factorization?
To find the LCM of 18 and 81, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 162.

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 18 and 81: LCM = 162, GCF = 9.

See Also