What is the LCM of 30 and 54?

"Least Common Multiple" Calculator

What's the Least Common Multiple (LCM) of 30 and 54?

Answer: LCM of 30 and 54 is 270

(Two hundred seventy)

Finding LCM for 30 and 54 using GCF's of these numbers

The first method to find LCM for numbers 30 and 54 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

LCM = (Number1 × Number2) ÷ GCF

GCF of numbers 30 and 54 is 6, so

LCM = (30 × 54) ÷ 6

LCM = 1620 ÷ 6

LCM = 270

Finding LCM for 30 and 54 by Listing Multiples

The second method to find LCM for numbers 30 and 54 is to list out the common multiples for both nubmers and pick the first which matching:

Multiples of 30: 30, 60, 90, 120, 150, 180, 210, 240, 270, 300, 330

Multiples of 54: 54, 108, 162, 216, 270, 324, 378

So the LCM for 30 and 54 is 270

Finding LCM for 30 and 54 by Prime Factorization

Another method to find LCM for numbers 30 and 54 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:

All Prime Factors of 30: 2, 3, 5 (exponent form: 2¹, 3¹, 5¹)

All Prime Factors of 54: 2, 3, 3, 3 (exponent form: 2¹, 3³)

2¹ × 3³ × 5¹ = 270

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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 30 and 54? (The answer is: 270). Select the first number (e.g. '30') and the second number (e.g. '54'). 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
15	54	270
16	54	432
17	54	918
18	54	54
19	54	1026
20	54	540
21	54	378
22	54	594
23	54	1242
24	54	216
25	54	1350
26	54	702
27	54	54
28	54	756
29	54	1566
30	54	270
31	54	1674
32	54	864
33	54	594
34	54	918
35	54	1890
36	54	108
37	54	1998
38	54	1026
39	54	702
40	54	1080
41	54	2214
42	54	378
43	54	2322
44	54	1188

LCM for 30 and 54

"Least Common Multiple" Calculator

What's the Least Common Multiple (LCM) of 30 and 54?

Finding LCM for 30 and 54 using GCF's of these numbers

Finding LCM for 30 and 54 by Listing Multiples

Finding LCM for 30 and 54 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 30 and 54?

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