What is the LCM of 27 and 32?

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What's the Least Common Multiple (LCM) of 27 and 32?

Answer: LCM of 27 and 32 is 864

(Eight hundred sixty-four)

Finding LCM for 27 and 32 using GCF's of these numbers

The first method to find LCM for numbers 27 and 32 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

LCM = (Number1 × Number2) ÷ GCF

GCF of numbers 27 and 32 is 1, so

LCM = (27 × 32) ÷ 1

LCM = 864 ÷ 1

LCM = 864

Finding LCM for 27 and 32 by Listing Multiples

The second method to find LCM for numbers 27 and 32 is to list out the common multiples for both nubmers and pick the first which matching:

Multiples of 27: 27, 54, 81, 108, 135, 162, 189, 216, 243, 270, 297, 324, 351, 378, 405, 432, 459, 486, 513, 540, 567, 594, 621, 648, 675, 702, 729, 756, 783, 810, 837, 864, 891, 918

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

So the LCM for 27 and 32 is 864

Finding LCM for 27 and 32 by Prime Factorization

Another method to find LCM for numbers 27 and 32 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:

All Prime Factors of 27: 3, 3, 3 (exponent form: 3³)

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

3³ × 2⁵ = 864

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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 27 and 32? (The answer is: 864). Select the first number (e.g. '27') and the second number (e.g. '32'). 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
12	32	96
13	32	416
14	32	224
15	32	480
16	32	32
17	32	544
18	32	288
19	32	608
20	32	160
21	32	672
22	32	352
23	32	736
24	32	96
25	32	800
26	32	416
27	32	864
28	32	224
29	32	928
30	32	480
31	32	992
32	32	32
33	32	1056
34	32	544
35	32	1120
36	32	288
37	32	1184
38	32	608
39	32	1248
40	32	160
41	32	1312

LCM for 27 and 32

"Least Common Multiple" Calculator

What's the Least Common Multiple (LCM) of 27 and 32?

Finding LCM for 27 and 32 using GCF's of these numbers

Finding LCM for 27 and 32 by Listing Multiples

Finding LCM for 27 and 32 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 27 and 32?

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