What is the LCM of 32 and 144?

"Least Common Multiple" Calculator

What's the Least Common Multiple (LCM) of 32 and 144?

Answer: LCM of 32 and 144 is 288

(Two hundred eighty-eight)

Finding LCM for 32 and 144 using GCF's of these numbers

The first method to find LCM for numbers 32 and 144 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

LCM = (Number1 × Number2) ÷ GCF

GCF of numbers 32 and 144 is 16, so

LCM = (32 × 144) ÷ 16

LCM = 4608 ÷ 16

LCM = 288

Finding LCM for 32 and 144 by Listing Multiples

The second method to find LCM for numbers 32 and 144 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

Multiples of 144: 144, 288, 432, 576

So the LCM for 32 and 144 is 288

Finding LCM for 32 and 144 by Prime Factorization

Another method to find LCM for numbers 32 and 144 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 144: 2, 2, 2, 2, 3, 3 (exponent form: 2⁴, 3²)

2⁵ × 3² = 288

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 144? (The answer is: 288). Select the first number (e.g. '32') and the second number (e.g. '144'). 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	144	2448
18	144	144
19	144	2736
20	144	720
21	144	1008
22	144	1584
23	144	3312
24	144	144
25	144	3600
26	144	1872
27	144	432
28	144	1008
29	144	4176
30	144	720
31	144	4464
32	144	288
33	144	1584
34	144	2448
35	144	5040
36	144	144
37	144	5328
38	144	2736
39	144	1872
40	144	720
41	144	5904
42	144	1008
43	144	6192
44	144	1584
45	144	720
46	144	3312

LCM for 32 and 144

"Least Common Multiple" Calculator

What's the Least Common Multiple (LCM) of 32 and 144?

Finding LCM for 32 and 144 using GCF's of these numbers

Finding LCM for 32 and 144 by Listing Multiples

Finding LCM for 32 and 144 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 144?

See Also