LCM for 54 and 48

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

Related Calculations

LCM Table

Number 1Number 2LCM
3948624
4048
41481968
4248
43482064
4448528
4548720
46481104
47482256
484848
49482352
50481200
5148816
5248624
53482544
5448
55482640
5648336
5748912
58481392
59482832
6048240
61482928
62481488
63481008
6448192
65483120
6648528
67483216
6848816

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

FAQ

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

LCM of 54 and 48 is 432