What is the LCM of 9 and 123?

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What's the Least Common Multiple (LCM) of 9 and 123?

Answer: LCM of 9 and 123 is 369

(Three hundred sixty-nine)

Finding LCM for 9 and 123 using GCF's of these numbers

The first method to find LCM for numbers 9 and 123 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

LCM = (Number1 × Number2) ÷ GCF

GCF of numbers 9 and 123 is 3, so

LCM = (9 × 123) ÷ 3

LCM = 1107 ÷ 3

LCM = 369

Finding LCM for 9 and 123 by Listing Multiples

The second method to find LCM for numbers 9 and 123 is to list out the common multiples for both nubmers and pick the first which matching:

Multiples of 9: 9, 18, 27, 36, 45, 54, 63, 72, 81, 90, 99, 108, 117, 126, 135, 144, 153, 162, 171, 180, 189, 198, 207, 216, 225, 234, 243, 252, 261, 270, 279, 288, 297, 306, 315, 324, 333, 342, 351, 360, 369, 378, 387

Multiples of 123: 123, 246, 369, 492, 615

So the LCM for 9 and 123 is 369

Finding LCM for 9 and 123 by Prime Factorization

Another method to find LCM for numbers 9 and 123 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:

All Prime Factors of 9: 3, 3 (exponent form: 3²)

All Prime Factors of 123: 3, 41 (exponent form: 3¹, 41¹)

3² × 41¹ = 369

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What is the GCF of 9 and 123

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 9 and 123? (The answer is: 369). Select the first number (e.g. '9') and the second number (e.g. '123'). 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
1	123	123
2	123	246
3	123	123
4	123	492
5	123	615
6	123	246
7	123	861
8	123	984
9	123	369
10	123	1230
11	123	1353
12	123	492
13	123	1599
14	123	1722
15	123	615
16	123	1968
17	123	2091
18	123	738
19	123	2337
20	123	2460
21	123	861
22	123	2706
23	123	2829
24	123	984
25	123	3075
26	123	3198
27	123	1107
28	123	3444
29	123	3567
30	123	1230

LCM for 9 and 123

"Least Common Multiple" Calculator

What's the Least Common Multiple (LCM) of 9 and 123?

Finding LCM for 9 and 123 using GCF's of these numbers

Finding LCM for 9 and 123 by Listing Multiples

Finding LCM for 9 and 123 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 9 and 123?

See Also