What is the LCM of 40 and 100?

"Least Common Multiple" Calculator

What's the Least Common Multiple (LCM) of 40 and 100?

Answer: LCM of 40 and 100 is 200

(Two hundred)

Finding LCM for 40 and 100 using GCF's of these numbers

The first method to find LCM for numbers 40 and 100 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

LCM = (Number1 × Number2) ÷ GCF

GCF of numbers 40 and 100 is 20, so

LCM = (40 × 100) ÷ 20

LCM = 4000 ÷ 20

LCM = 200

Finding LCM for 40 and 100 by Listing Multiples

The second method to find LCM for numbers 40 and 100 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

Multiples of 100: 100, 200, 300, 400

So the LCM for 40 and 100 is 200

Finding LCM for 40 and 100 by Prime Factorization

Another method to find LCM for numbers 40 and 100 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 100: 2, 2, 5, 5 (exponent form: 2², 5²)

2³ × 5² = 200

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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 100? (The answer is: 200). Select the first number (e.g. '40') and the second number (e.g. '100'). 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

LCM Table

Number 1	Number 2	LCM
25	100	100
26	100	1300
27	100	2700
28	100	700
29	100	2900
30	100	300
31	100	3100
32	100	800
33	100	3300
34	100	1700
35	100	700
36	100	900
37	100	3700
38	100	1900
39	100	3900
40	100	200
41	100	4100
42	100	2100
43	100	4300
44	100	1100
45	100	900
46	100	2300
47	100	4700
48	100	1200
49	100	4900
50	100	100
51	100	5100
52	100	1300
53	100	5300
54	100	2700

LCM for 40 and 100

"Least Common Multiple" Calculator

What's the Least Common Multiple (LCM) of 40 and 100?

Finding LCM for 40 and 100 using GCF's of these numbers

Finding LCM for 40 and 100 by Listing Multiples

Finding LCM for 40 and 100 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 100?

See Also