LCM for 7 and 28

"Least Common Multiple" Calculator

Least Common Multiple of

and

What's the Least Common Multiple (LCM) of 7 and 28?

Answer

LCM of 7 and 28 is 28

(Twenty-eight)

Finding LCM for 7 and 28 using GCF of these numbers

The first method to find LCM for numbers 7 and 28 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

LCM = (Number1 × Number2) ÷ GCF

GCF of numbers 7 and 28 is 7, so

LCM = (7 × 28) ÷ 7

LCM = 196 ÷ 7

LCM = 28

Finding LCM for 7 and 28 by Listing Multiples

The second method to find LCM for numbers 7 and 28 is to list out the common multiples for both numbers and pick the first one that matches:

Multiples of 7: 7, 14, 21, 28, 35, 42

Multiples of 28: 28, 56, 84

So the LCM for 7 and 28 is 28

Finding LCM for 7 and 28 by Prime Factorization

Another method to find LCM for numbers 7 and 28 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:

All Prime Factors of 7: 7 (exponent form: 71)

All Prime Factors of 28: 2, 2, 7 (exponent form: 22, 71)

71 × 22 = 28

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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 7 and 28? (The answer is: 28). Select the first number (e.g. '7') and the second number (e.g. '28'). 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
1 28 28
2 28 28
3 28 84
4 28 28
5 28 140
6 28 84
7 28 28
8 28 56
9 28 252
10 28 140
11 28 308
12 28 84
13 28 364
14 28 28
15 28 420
16 28 112
17 28 476
18 28 252
19 28 532
20 28 140
21 28 84
22 28 308
23 28 644
24 28 168
25 28 700
26 28 364
27 28 756
28 28 28
29 28 812
30 28 420

FAQ

What's the Least Common Multiple (LCM) of 7 and 28?
LCM of 7 and 28 is 28

How to find the LCM of 7 and 28 using prime factorization?
To find the LCM of 7 and 28, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 28.

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 7 and 28: LCM = 28, GCF = 7.

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