What is the LCM of 21 and 33?

"Least Common Multiple" Calculator

What's the Least Common Multiple (LCM) of 21 and 33?

Answer: LCM of 21 and 33 is 231

(Two hundred thirty-one)

Finding LCM for 21 and 33 using GCF's of these numbers

The first method to find LCM for numbers 21 and 33 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

LCM = (Number1 × Number2) ÷ GCF

GCF of numbers 21 and 33 is 3, so

LCM = (21 × 33) ÷ 3

LCM = 693 ÷ 3

LCM = 231

Finding LCM for 21 and 33 by Listing Multiples

The second method to find LCM for numbers 21 and 33 is to list out the common multiples for both nubmers and pick the first which matching:

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

Multiples of 33: 33, 66, 99, 132, 165, 198, 231, 264, 297

So the LCM for 21 and 33 is 231

Finding LCM for 21 and 33 by Prime Factorization

Another method to find LCM for numbers 21 and 33 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:

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

All Prime Factors of 33: 3, 11 (exponent form: 3¹, 11¹)

3¹ × 7¹ × 11¹ = 231

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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 21 and 33? (The answer is: 231). Select the first number (e.g. '21') and the second number (e.g. '33'). 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 1	Number 2	LCM
6	33	66
7	33	231
8	33	264
9	33	99
10	33	330
11	33	33
12	33	132
13	33	429
14	33	462
15	33	165
16	33	528
17	33	561
18	33	198
19	33	627
20	33	660
21	33	231
22	33	66
23	33	759
24	33	264
25	33	825
26	33	858
27	33	297
28	33	924
29	33	957
30	33	330
31	33	1023
32	33	1056
33	33	33
34	33	1122
35	33	1155

LCM for 21 and 33

"Least Common Multiple" Calculator

What's the Least Common Multiple (LCM) of 21 and 33?

Finding LCM for 21 and 33 using GCF's of these numbers

Finding LCM for 21 and 33 by Listing Multiples

Finding LCM for 21 and 33 by Prime Factorization

Related Calculations

See Also

About "Least Common Multiple" Calculator

"Least Common Multiple" Calculator

LCM Table

FAQ

What's the Least Common Multiple (LCM) of 21 and 33?

See Also