LCM for 48 and 54

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

Answer: LCM of 48 and 54 is 432

(Four hundred thirty-two)

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

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

LCM = (Number1 × Number2) ÷ GCF

GCF of numbers 48 and 54 is 6, so

LCM = (48 × 54) ÷ 6

LCM = 2592 ÷ 6

LCM = 432

Finding LCM for 48 and 54 by Listing Multiples

The second method to find LCM for numbers 48 and 54 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 54: 54, 108, 162, 216, 270, 324, 378, 432, 486, 540

So the LCM for 48 and 54 is 432

Finding LCM for 48 and 54 by Prime Factorization

Another method to find LCM for numbers 48 and 54 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 54: 2, 3, 3, 3 (exponent form: 21, 33)

24 × 33 = 432

See Also

LCM Table

Number 1Number 2LCM
3354594
3454918
35541890
3654
37541998
38541026
3954702
40541080
41542214
4254378
43542322
44541188
4554
46541242
47542538
4854
49542646
50541350
5154918
52541404
53542862
545454
55542970
56541512
57541026
58541566
59543186
6054540
61543294
62541674

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 54? (The answer is: 432). Select the first number (e.g. '48') 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

FAQ

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

LCM of 48 and 54 is 432