What is the LCM of 48 and 108?

"Least Common Multiple" Calculator

What's the Least Common Multiple (LCM) of 48 and 108?

Answer: LCM of 48 and 108 is 432

(Four hundred thirty-two)

Finding LCM for 48 and 108 using GCF's of these numbers

The first method to find LCM for numbers 48 and 108 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

LCM = (Number1 × Number2) ÷ GCF

GCF of numbers 48 and 108 is 12, so

LCM = (48 × 108) ÷ 12

LCM = 5184 ÷ 12

LCM = 432

Finding LCM for 48 and 108 by Listing Multiples

The second method to find LCM for numbers 48 and 108 is to list out the common multiples for both nubmers and pick the first which matching:

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

Multiples of 108: 108, 216, 324, 432, 540, 648

So the LCM for 48 and 108 is 432

Finding LCM for 48 and 108 by Prime Factorization

Another method to find LCM for numbers 48 and 108 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:

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

All Prime Factors of 108: 2, 2, 3, 3, 3 (exponent form: 2², 3³)

2⁴ × 3³ = 432

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What is the GCF of 48 and 108

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 48 and 108? (The answer is: 432). Select the first number (e.g. '48') and the second number (e.g. '108'). 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
33	108	1188
34	108	1836
35	108	3780
36	108	108
37	108	3996
38	108	2052
39	108	1404
40	108	1080
41	108	4428
42	108	756
43	108	4644
44	108	1188
45	108	540
46	108	2484
47	108	5076
48	108	432
49	108	5292
50	108	2700
51	108	1836
52	108	1404
53	108	5724
54	108	108
55	108	5940
56	108	1512
57	108	2052
58	108	3132
59	108	6372
60	108	540
61	108	6588
62	108	3348

LCM for 48 and 108

"Least Common Multiple" Calculator

What's the Least Common Multiple (LCM) of 48 and 108?

Finding LCM for 48 and 108 using GCF's of these numbers

Finding LCM for 48 and 108 by Listing Multiples

Finding LCM for 48 and 108 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 48 and 108?

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