What is the LCM of 40 and 180?

"Least Common Multiple" Calculator

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's 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 nubmers and pick the first which matching:

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

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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

LCM for 40 and 180

"Least Common Multiple" Calculator

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

Finding LCM for 40 and 180 using GCF's of these numbers

Finding LCM for 40 and 180 by Listing Multiples

Finding LCM for 40 and 180 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 40 and 180?

See Also