LCM for 72 and 27

"Least Common Multiple" Calculator

Least Common Multiple of

and

What's the Least Common Multiple (LCM) of 72 and 27?

Answer

LCM of 72 and 27 is 216

(Two hundred sixteen)

Finding LCM for 72 and 27 using GCF of these numbers

The first method to find LCM for numbers 72 and 27 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

LCM = (Number1 × Number2) ÷ GCF

GCF of numbers 72 and 27 is 9, so

LCM = (72 × 27) ÷ 9

LCM = 1944 ÷ 9

LCM = 216

Finding LCM for 72 and 27 by Listing Multiples

The second method to find LCM for numbers 72 and 27 is to list out the common multiples for both numbers and pick the first one that matches:

Multiples of 72: 72, 144, 216, 288, 360

Multiples of 27: 27, 54, 81, 108, 135, 162, 189, 216, 243, 270

So the LCM for 72 and 27 is 216

Finding LCM for 72 and 27 by Prime Factorization

Another method to find LCM for numbers 72 and 27 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 27: 3, 3, 3 (exponent form: 33)

23 × 33 = 216

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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 27? (The answer is: 216). Select the first number (e.g. '72') and the second number (e.g. '27'). 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

"Least Common Multiple" Calculator

Least Common Multiple of

and

LCM Table

Number 1 Number 2 LCM
57 27 513
58 27 1566
59 27 1593
60 27 540
61 27 1647
62 27 1674
63 27 189
64 27 1728
65 27 1755
66 27 594
67 27 1809
68 27 1836
69 27 621
70 27 1890
71 27 1917
72 27 216
73 27 1971
74 27 1998
75 27 675
76 27 2052
77 27 2079
78 27 702
79 27 2133
80 27 2160
81 27 81
82 27 2214
83 27 2241
84 27 756
85 27 2295
86 27 2322

FAQ

What's the Least Common Multiple (LCM) of 72 and 27?
LCM of 72 and 27 is 216

How to find the LCM of 72 and 27 using prime factorization?
To find the LCM of 72 and 27, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 216.

What is the difference between LCM and GCF?
LCM (Least Common Multiple) is the smallest number divisible by both numbers, while GCF (Greatest Common Factor) is the largest number that divides both. For 72 and 27: LCM = 216, GCF = 9.

See Also