What is the LCM of 27 and 72?

"Least Common Multiple" Calculator

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

Answer: LCM of 27 and 72 is 216

(Two hundred sixteen)

Finding LCM for 27 and 72 using GCF's of these numbers

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

LCM = (Number1 × Number2) ÷ GCF

GCF of numbers 27 and 72 is 9, so

LCM = (27 × 72) ÷ 9

LCM = 1944 ÷ 9

LCM = 216

Finding LCM for 27 and 72 by Listing Multiples

The second method to find LCM for numbers 27 and 72 is to list out the common multiples for both nubmers and pick the first which matching:

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

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

So the LCM for 27 and 72 is 216

Finding LCM for 27 and 72 by Prime Factorization

Another method to find LCM for numbers 27 and 72 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:

All Prime Factors of 27: 3, 3, 3 (exponent form: 3³)

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

3³ × 2³ = 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 27 and 72? (The answer is: 216). Select the first number (e.g. '27') and the second number (e.g. '72'). 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

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LCM Table

Number 1	Number 2	LCM
12	72	72
13	72	936
14	72	504
15	72	360
16	72	144
17	72	1224
18	72	72
19	72	1368
20	72	360
21	72	504
22	72	792
23	72	1656
24	72	72
25	72	1800
26	72	936
27	72	216
28	72	504
29	72	2088
30	72	360
31	72	2232
32	72	288
33	72	792
34	72	1224
35	72	2520
36	72	72
37	72	2664
38	72	1368
39	72	936
40	72	360
41	72	2952

LCM for 27 and 72

"Least Common Multiple" Calculator

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

Finding LCM for 27 and 72 using GCF's of these numbers

Finding LCM for 27 and 72 by Listing Multiples

Finding LCM for 27 and 72 by Prime Factorization

Related Calculations

See Also

About "Least Common Multiple" Calculator

"Least Common Multiple" Calculator

LCM Table

FAQ

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

See Also