What is the LCM of 32 and 208?

"Least Common Multiple" Calculator

What's the Least Common Multiple (LCM) of 32 and 208?

Answer: LCM of 32 and 208 is 416

(Four hundred sixteen)

Finding LCM for 32 and 208 using GCF's of these numbers

The first method to find LCM for numbers 32 and 208 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

LCM = (Number1 × Number2) ÷ GCF

GCF of numbers 32 and 208 is 16, so

LCM = (32 × 208) ÷ 16

LCM = 6656 ÷ 16

LCM = 416

Finding LCM for 32 and 208 by Listing Multiples

The second method to find LCM for numbers 32 and 208 is to list out the common multiples for both nubmers and pick the first which matching:

Multiples of 32: 32, 64, 96, 128, 160, 192, 224, 256, 288, 320, 352, 384, 416, 448, 480

Multiples of 208: 208, 416, 624, 832

So the LCM for 32 and 208 is 416

Finding LCM for 32 and 208 by Prime Factorization

Another method to find LCM for numbers 32 and 208 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:

All Prime Factors of 32: 2, 2, 2, 2, 2 (exponent form: 2⁵)

All Prime Factors of 208: 2, 2, 2, 2, 13 (exponent form: 2⁴, 13¹)

2⁵ × 13¹ = 416

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 32 and 208? (The answer is: 416). Select the first number (e.g. '32') and the second number (e.g. '208'). 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
17	208	3536
18	208	1872
19	208	3952
20	208	1040
21	208	4368
22	208	2288
23	208	4784
24	208	624
25	208	5200
26	208	208
27	208	5616
28	208	1456
29	208	6032
30	208	3120
31	208	6448
32	208	416
33	208	6864
34	208	3536
35	208	7280
36	208	1872
37	208	7696
38	208	3952
39	208	624
40	208	1040
41	208	8528
42	208	4368
43	208	8944
44	208	2288
45	208	9360
46	208	4784

LCM for 32 and 208

"Least Common Multiple" Calculator

What's the Least Common Multiple (LCM) of 32 and 208?

Finding LCM for 32 and 208 using GCF's of these numbers

Finding LCM for 32 and 208 by Listing Multiples

Finding LCM for 32 and 208 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 32 and 208?

See Also