LCM for 48 and 81

What's the Least Common Multiple (LCM) of 48 and 81?

Answer: LCM of 48 and 81 is 1,296

(One thousand, two hundred ninety-six)

Finding LCM for 48 and 81 using GCF's of these numbers

The first method to find LCM for numbers 48 and 81 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

LCM = (Number1 × Number2) ÷ GCF

GCF of numbers 48 and 81 is 3, so

LCM = (48 × 81) ÷ 3

LCM = 3888 ÷ 3

LCM = 1296

Finding LCM for 48 and 81 by Listing Multiples

The second method to find LCM for numbers 48 and 81 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, 576, 624, 672, 720, 768, 816, 864, 912, 960, 1008, 1056, 1104, 1152, 1200, 1248, 1296, 1344, 1392

Multiples of 81: 81, 162, 243, 324, 405, 486, 567, 648, 729, 810, 891, 972, 1053, 1134, 1215, 1296, 1377, 1458

So the LCM for 48 and 81 is 1296

Finding LCM for 48 and 81 by Prime Factorization

Another method to find LCM for numbers 48 and 81 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 81: 3, 3, 3, 3 (exponent form: 34)

24 × 34 = 1296

Related Calculations

LCM Table

Number 1Number 2LCM
3381891
34812754
35812835
3681
37812997
38813078
39811053
40813240
41813321
42811134
43813483
44813564
4581
46813726
47813807
4881
4981
50814050
51811377
52814212
53814293
5481
55814455
56814536
57811539
58814698
59814779
60811620
61814941
62815022

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 81? (The answer is: 1296). Select the first number (e.g. '48') and the second number (e.g. '81'). 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 81?

LCM of 48 and 81 is 1,296