LCM for 40 and 180

"Least Common Multiple" Calculator

Least Common Multiple of

and

What's the Least Common Multiple (LCM) of 40 and 180?

Answer

LCM of 40 and 180 is 360

(Three hundred sixty)

Finding LCM for 40 and 180 using GCF of these numbers

The first method to find LCM for numbers 40 and 180 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

LCM = (Number1 × Number2) ÷ GCF

GCF of numbers 40 and 180 is 20, so

LCM = (40 × 180) ÷ 20

LCM = 7200 ÷ 20

LCM = 360

Finding LCM for 40 and 180 by Listing Multiples

The second method to find LCM for numbers 40 and 180 is to list out the common multiples for both numbers and pick the first one that matches:

Multiples of 40: 40, 80, 120, 160, 200, 240, 280, 320, 360, 400, 440

Multiples of 180: 180, 360, 540, 720

So the LCM for 40 and 180 is 360

Finding LCM for 40 and 180 by Prime Factorization

Another method to find LCM for numbers 40 and 180 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:

All Prime Factors of 40: 2, 2, 2, 5 (exponent form: 23, 51)

All Prime Factors of 180: 2, 2, 3, 3, 5 (exponent form: 22, 32, 51)

23 × 51 × 32 = 360

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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 40 and 180? (The answer is: 360). Select the first number (e.g. '40') and the second number (e.g. '180'). 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
25 180 900
26 180 2340
27 180 540
28 180 1260
29 180 5220
30 180 180
31 180 5580
32 180 1440
33 180 1980
34 180 3060
35 180 1260
36 180 180
37 180 6660
38 180 3420
39 180 2340
40 180 360
41 180 7380
42 180 1260
43 180 7740
44 180 1980
45 180 180
46 180 4140
47 180 8460
48 180 720
49 180 8820
50 180 900
51 180 3060
52 180 2340
53 180 9540
54 180 540

FAQ

What's the Least Common Multiple (LCM) of 40 and 180?
LCM of 40 and 180 is 360

How to find the LCM of 40 and 180 using prime factorization?
To find the LCM of 40 and 180, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 360.

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 40 and 180: LCM = 360, GCF = 20.

See Also