LCM for 72 and 81

What's the Least Common Multiple (LCM) of 72 and 81?

Answer: LCM of 72 and 81 is 648

(Six hundred forty-eight)

Finding LCM for 72 and 81 using GCF's of these numbers

The first method to find LCM for numbers 72 and 81 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

LCM = (Number1 × Number2) ÷ GCF

GCF of numbers 72 and 81 is 9, so

LCM = (72 × 81) ÷ 9

LCM = 5832 ÷ 9

LCM = 648

Finding LCM for 72 and 81 by Listing Multiples

The second method to find LCM for numbers 72 and 81 is to list out the common multiples for both nubmers and pick the first which matching:

Multiples of 72: 72, 144, 216, 288, 360, 432, 504, 576, 648, 720, 792

Multiples of 81: 81, 162, 243, 324, 405, 486, 567, 648, 729, 810

So the LCM for 72 and 81 is 648

Finding LCM for 72 and 81 by Prime Factorization

Another method to find LCM for numbers 72 and 81 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:

All Prime Factors of 72: 2, 2, 2, 3, 3 (exponent form: 23, 32)

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

23 × 34 = 648

Related Calculations

See Also

LCM Table

Number 1Number 2LCM
57811539
58814698
59814779
60811620
61814941
62815022
6381
64815184
65815265
66811782
67815427
68815508
69811863
70815670
71815751
7281
73815913
74815994
75812025
76816156
77816237
78812106
79816399
80816480
818181
82816642
83816723
84812268
85816885
86816966

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 72 and 81? (The answer is: 648). Select the first number (e.g. '72') 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 72 and 81?

LCM of 72 and 81 is 648