What is the LCM of 28 and 238?

"Least Common Multiple" Calculator

What's the Least Common Multiple (LCM) of 28 and 238?

Answer: LCM of 28 and 238 is 476

(Four hundred seventy-six)

Finding LCM for 28 and 238 using GCF's of these numbers

The first method to find LCM for numbers 28 and 238 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

LCM = (Number1 × Number2) ÷ GCF

GCF of numbers 28 and 238 is 14, so

LCM = (28 × 238) ÷ 14

LCM = 6664 ÷ 14

LCM = 476

Finding LCM for 28 and 238 by Listing Multiples

The second method to find LCM for numbers 28 and 238 is to list out the common multiples for both nubmers and pick the first which matching:

Multiples of 28: 28, 56, 84, 112, 140, 168, 196, 224, 252, 280, 308, 336, 364, 392, 420, 448, 476, 504, 532

Multiples of 238: 238, 476, 714, 952

So the LCM for 28 and 238 is 476

Finding LCM for 28 and 238 by Prime Factorization

Another method to find LCM for numbers 28 and 238 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:

All Prime Factors of 28: 2, 2, 7 (exponent form: 2², 7¹)

All Prime Factors of 238: 2, 7, 17 (exponent form: 2¹, 7¹, 17¹)

2² × 7¹ × 17¹ = 476

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 28 and 238? (The answer is: 476). Select the first number (e.g. '28') and the second number (e.g. '238'). 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

LCM Table

Number 1	Number 2	LCM
13	238	3094
14	238	238
15	238	3570
16	238	1904
17	238	238
18	238	2142
19	238	4522
20	238	2380
21	238	714
22	238	2618
23	238	5474
24	238	2856
25	238	5950
26	238	3094
27	238	6426
28	238	476
29	238	6902
30	238	3570
31	238	7378
32	238	3808
33	238	7854
34	238	238
35	238	1190
36	238	4284
37	238	8806
38	238	4522
39	238	9282
40	238	4760
41	238	9758
42	238	714

LCM for 28 and 238

"Least Common Multiple" Calculator

What's the Least Common Multiple (LCM) of 28 and 238?

Finding LCM for 28 and 238 using GCF's of these numbers

Finding LCM for 28 and 238 by Listing Multiples

Finding LCM for 28 and 238 by Prime Factorization

See Also

About "Least Common Multiple" Calculator

"Least Common Multiple" Calculator

LCM Table

FAQ

What's the Least Common Multiple (LCM) of 28 and 238?

See Also