What is the LCM of 54 and 48?

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What's the Least Common Multiple (LCM) of 54 and 48?

Answer: LCM of 54 and 48 is 432

(Four hundred thirty-two)

Finding LCM for 54 and 48 using GCF's of these numbers

The first method to find LCM for numbers 54 and 48 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

LCM = (Number1 × Number2) ÷ GCF

GCF of numbers 54 and 48 is 6, so

LCM = (54 × 48) ÷ 6

LCM = 2592 ÷ 6

LCM = 432

Finding LCM for 54 and 48 by Listing Multiples

The second method to find LCM for numbers 54 and 48 is to list out the common multiples for both nubmers and pick the first which matching:

Multiples of 54: 54, 108, 162, 216, 270, 324, 378, 432, 486, 540

Multiples of 48: 48, 96, 144, 192, 240, 288, 336, 384, 432, 480, 528

So the LCM for 54 and 48 is 432

Finding LCM for 54 and 48 by Prime Factorization

Another method to find LCM for numbers 54 and 48 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:

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

All Prime Factors of 48: 2, 2, 2, 2, 3 (exponent form: 2⁴, 3¹)

2⁴ × 3³ = 432

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What is the GCF of 54 and 48

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 54 and 48? (The answer is: 432). Select the first number (e.g. '54') and the second number (e.g. '48'). 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
39	48	624
40	48	240
41	48	1968
42	48	336
43	48	2064
44	48	528
45	48	720
46	48	1104
47	48	2256
48	48	48
49	48	2352
50	48	1200
51	48	816
52	48	624
53	48	2544
54	48	432
55	48	2640
56	48	336
57	48	912
58	48	1392
59	48	2832
60	48	240
61	48	2928
62	48	1488
63	48	1008
64	48	192
65	48	3120
66	48	528
67	48	3216
68	48	816

LCM for 54 and 48

"Least Common Multiple" Calculator

What's the Least Common Multiple (LCM) of 54 and 48?

Finding LCM for 54 and 48 using GCF's of these numbers

Finding LCM for 54 and 48 by Listing Multiples

Finding LCM for 54 and 48 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 54 and 48?

See Also