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LCM for 11 and 21

"Least Common Multiple" Calculator

Least Common Multiple of

and

What's the Least Common Multiple (LCM) of 11 and 21?

Answer

LCM of 11 and 21 is 231

(Two hundred thirty-one)

Finding LCM for 11 and 21 using GCF of these numbers

The first method to find LCM for numbers 11 and 21 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

LCM = (Number1 × Number2) ÷ GCF

GCF of numbers 11 and 21 is 1, so

LCM = (11 × 21) ÷ 1

LCM = 231 ÷ 1

LCM = 231

Finding LCM for 11 and 21 by Listing Multiples

The second method to find LCM for numbers 11 and 21 is to list out the common multiples for both numbers and pick the first one that matches:

Multiples of 11: 11, 22, 33, 44, 55, 66, 77, 88, 99, 110, 121, 132, 143, 154, 165, 176, 187, 198, 209, 220, 231, 242, 253

Multiples of 21: 21, 42, 63, 84, 105, 126, 147, 168, 189, 210, 231, 252, 273

So the LCM for 11 and 21 is 231

Finding LCM for 11 and 21 by Prime Factorization

Another method to find LCM for numbers 11 and 21 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:

All Prime Factors of 11: 11 (exponent form: 111)

All Prime Factors of 21: 3, 7 (exponent form: 31, 71)

111 × 31 × 71 = 231

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What is the LCM of 11 and 21?. Find the LCM of 11 and 21 - the smallest common multiple of two integers.
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LCM Table

Number 1 Number 2 LCM
1 21 21
2 21 42
3 21 21
4 21 84
5 21 105
6 21 42
7 21 21
8 21 168
9 21 63
10 21 210
11 21 231
12 21 84
13 21 273
14 21 42
15 21 105
16 21 336
17 21 357
18 21 126
19 21 399
20 21 420
21 21 21
22 21 462
23 21 483
24 21 168
25 21 525
26 21 546
27 21 189
28 21 84
29 21 609
30 21 210

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 11 and 21? (The answer is: 231). Select the first number (e.g. '11') and the second number (e.g. '21'). 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

FAQ

What's the Least Common Multiple (LCM) of 11 and 21?
LCM of 11 and 21 is 231

How to find the LCM of 11 and 21 using prime factorization?
To find the LCM of 11 and 21, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 231.

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 11 and 21: LCM = 231, GCF = 1.

See Also