What is the LCM of 32 and 360?

"Least Common Multiple" Calculator

What's the Least Common Multiple (LCM) of 32 and 360?

Answer: LCM of 32 and 360 is 1,440

(One thousand, four hundred forty)

Finding LCM for 32 and 360 using GCF's of these numbers

The first method to find LCM for numbers 32 and 360 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

LCM = (Number1 × Number2) ÷ GCF

GCF of numbers 32 and 360 is 8, so

LCM = (32 × 360) ÷ 8

LCM = 11520 ÷ 8

LCM = 1440

Finding LCM for 32 and 360 by Listing Multiples

The second method to find LCM for numbers 32 and 360 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, 512, 544, 576, 608, 640, 672, 704, 736, 768, 800, 832, 864, 896, 928, 960, 992, 1024, 1056, 1088, 1120, 1152, 1184, 1216, 1248, 1280, 1312, 1344, 1376, 1408, 1440, 1472, 1504

Multiples of 360: 360, 720, 1080, 1440, 1800, 2160

So the LCM for 32 and 360 is 1440

Finding LCM for 32 and 360 by Prime Factorization

Another method to find LCM for numbers 32 and 360 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 360: 2, 2, 2, 3, 3, 5 (exponent form: 2³, 3², 5¹)

2⁵ × 3² × 5¹ = 1440

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 360? (The answer is: 1440). Select the first number (e.g. '32') and the second number (e.g. '360'). 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	360	6120
18	360	360
19	360	6840
20	360	360
21	360	2520
22	360	3960
23	360	8280
24	360	360
25	360	1800
26	360	4680
27	360	1080
28	360	2520
29	360	10440
30	360	360
31	360	11160
32	360	1440
33	360	3960
34	360	6120
35	360	2520
36	360	360
37	360	13320
38	360	6840
39	360	4680
40	360	360
41	360	14760
42	360	2520
43	360	15480
44	360	3960
45	360	360
46	360	8280

LCM for 32 and 360

"Least Common Multiple" Calculator

What's the Least Common Multiple (LCM) of 32 and 360?

Finding LCM for 32 and 360 using GCF's of these numbers

Finding LCM for 32 and 360 by Listing Multiples

Finding LCM for 32 and 360 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 360?

See Also