LCM for 25 and 40

"Least Common Multiple" Calculator

Least Common Multiple of

and

What's the Least Common Multiple (LCM) of 25 and 40?

Answer

LCM of 25 and 40 is 200

(Two hundred)

Finding LCM for 25 and 40 using GCF of these numbers

The first method to find LCM for numbers 25 and 40 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

LCM = (Number1 × Number2) ÷ GCF

GCF of numbers 25 and 40 is 5, so

LCM = (25 × 40) ÷ 5

LCM = 1000 ÷ 5

LCM = 200

Finding LCM for 25 and 40 by Listing Multiples

The second method to find LCM for numbers 25 and 40 is to list out the common multiples for both numbers and pick the first one that matches:

Multiples of 25: 25, 50, 75, 100, 125, 150, 175, 200, 225, 250

Multiples of 40: 40, 80, 120, 160, 200, 240, 280

So the LCM for 25 and 40 is 200

Finding LCM for 25 and 40 by Prime Factorization

Another method to find LCM for numbers 25 and 40 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:

All Prime Factors of 25: 5, 5 (exponent form: 52)

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

52 × 23 = 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 25 and 40? (The answer is: 200). Select the first number (e.g. '25') and the second number (e.g. '40'). 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

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LCM Table

Number 1 Number 2 LCM
10 40 40
11 40 440
12 40 120
13 40 520
14 40 280
15 40 120
16 40 80
17 40 680
18 40 360
19 40 760
20 40 40
21 40 840
22 40 440
23 40 920
24 40 120
25 40 200
26 40 520
27 40 1080
28 40 280
29 40 1160
30 40 120
31 40 1240
32 40 160
33 40 1320
34 40 680
35 40 280
36 40 360
37 40 1480
38 40 760
39 40 1560

FAQ

What's the Least Common Multiple (LCM) of 25 and 40?
LCM of 25 and 40 is 200

How to find the LCM of 25 and 40 using prime factorization?
To find the LCM of 25 and 40, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 200.

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 25 and 40: LCM = 200, GCF = 5.

See Also