LCM for 36 and 81

What's the Least Common Multiple (LCM) of 36 and 81?

Answer: LCM of 36 and 81 is 324

(Three hundred twenty-four)

Finding LCM for 36 and 81 using GCF's of these numbers

The first method to find LCM for numbers 36 and 81 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

LCM = (Number1 × Number2) ÷ GCF

GCF of numbers 36 and 81 is 9, so

LCM = (36 × 81) ÷ 9

LCM = 2916 ÷ 9

LCM = 324

Finding LCM for 36 and 81 by Listing Multiples

The second method to find LCM for numbers 36 and 81 is to list out the common multiples for both nubmers and pick the first which matching:

Multiples of 36: 36, 72, 108, 144, 180, 216, 252, 288, 324, 360, 396

Multiples of 81: 81, 162, 243, 324, 405, 486

So the LCM for 36 and 81 is 324

Finding LCM for 36 and 81 by Prime Factorization

Another method to find LCM for numbers 36 and 81 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:

All Prime Factors of 36: 2, 2, 3, 3 (exponent form: 22, 32)

All Prime Factors of 81: 3, 3, 3, 3 (exponent form: 34)

22 × 34 = 324

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See Also

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 36 and 81? (The answer is: 324). Select the first number (e.g. '36') 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

LCM Table

Number 1Number 2LCM
2181567
22811782
23811863
2481648
25812025
26812106
278181
28812268
29812349
3081810
31812511
32812592
3381891
34812754
35812835
3681
37812997
38813078
39811053
40813240
41813321
42811134
43813483
44813564
4581405
46813726
47813807
4881
49813969
50814050

FAQ

What's the Least Common Multiple (LCM) of 36 and 81?

LCM of 36 and 81 is 324