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LCM for 21 and 25

"Least Common Multiple" Calculator

Least Common Multiple of

and

What's the Least Common Multiple (LCM) of 21 and 25?

Answer

LCM of 21 and 25 is 525

(Five hundred twenty-five)

Finding LCM for 21 and 25 using GCF of these numbers

The first method to find LCM for numbers 21 and 25 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

LCM = (Number1 × Number2) ÷ GCF

GCF of numbers 21 and 25 is 1, so

LCM = (21 × 25) ÷ 1

LCM = 525 ÷ 1

LCM = 525

Finding LCM for 21 and 25 by Listing Multiples

The second method to find LCM for numbers 21 and 25 is to list out the common multiples for both numbers and pick the first one that matches:

Multiples of 21: 21, 42, 63, 84, 105, 126, 147, 168, 189, 210, 231, 252, 273, 294, 315, 336, 357, 378, 399, 420, 441, 462, 483, 504, 525, 546, 567

Multiples of 25: 25, 50, 75, 100, 125, 150, 175, 200, 225, 250, 275, 300, 325, 350, 375, 400, 425, 450, 475, 500, 525, 550, 575

So the LCM for 21 and 25 is 525

Finding LCM for 21 and 25 by Prime Factorization

Another method to find LCM for numbers 21 and 25 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:

All Prime Factors of 21: 3, 7 (exponent form: 31, 71)

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

31 × 71 × 52 = 525

See Also

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What is the LCM of 21 and 25?. Find the LCM of 21 and 25 - the smallest common multiple of two integers.
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LCM Table

Number 1 Number 2 LCM
6 25 150
7 25 175
8 25 200
9 25 225
10 25 50
11 25 275
12 25 300
13 25 325
14 25 350
15 25 75
16 25 400
17 25 425
18 25 450
19 25 475
20 25 100
21 25 525
22 25 550
23 25 575
24 25 600
25 25 25
26 25 650
27 25 675
28 25 700
29 25 725
30 25 150
31 25 775
32 25 800
33 25 825
34 25 850
35 25 175

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 21 and 25? (The answer is: 525). Select the first number (e.g. '21') and the second number (e.g. '25'). 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

FAQ

What's the Least Common Multiple (LCM) of 21 and 25?

LCM of 21 and 25 is 525

How to find the LCM of 21 and 25 using prime factorization?

To find the LCM of 21 and 25, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 525.

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 21 and 25: LCM = 525, GCF = 1.