LCM for 4 and 14

"Least Common Multiple" Calculator

Least Common Multiple of

and

What's the Least Common Multiple (LCM) of 4 and 14?

Answer

LCM of 4 and 14 is 28

(Twenty-eight)

Finding LCM for 4 and 14 using GCF of these numbers

The first method to find LCM for numbers 4 and 14 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

LCM = (Number1 × Number2) ÷ GCF

GCF of numbers 4 and 14 is 2, so

LCM = (4 × 14) ÷ 2

LCM = 56 ÷ 2

LCM = 28

Finding LCM for 4 and 14 by Listing Multiples

The second method to find LCM for numbers 4 and 14 is to list out the common multiples for both numbers and pick the first one that matches:

Multiples of 4: 4, 8, 12, 16, 20, 24, 28, 32, 36

Multiples of 14: 14, 28, 42, 56

So the LCM for 4 and 14 is 28

Finding LCM for 4 and 14 by Prime Factorization

Another method to find LCM for numbers 4 and 14 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:

All Prime Factors of 4: 2, 2 (exponent form: 22)

All Prime Factors of 14: 2, 7 (exponent form: 21, 71)

22 × 71 = 28

See Also

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 4 and 14? (The answer is: 28). Select the first number (e.g. '4') and the second number (e.g. '14'). 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 14 14
2 14 14
3 14 42
4 14 28
5 14 70
6 14 42
7 14 14
8 14 56
9 14 126
10 14 70
11 14 154
12 14 84
13 14 182
14 14 14
15 14 210
16 14 112
17 14 238
18 14 126
19 14 266
20 14 140
21 14 42
22 14 154
23 14 322
24 14 168
25 14 350
26 14 182
27 14 378
28 14 28
29 14 406
30 14 210

FAQ

What's the Least Common Multiple (LCM) of 4 and 14?

LCM of 4 and 14 is 28

How to find the LCM of 4 and 14 using prime factorization?

To find the LCM of 4 and 14, 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 4 and 14: LCM = 28, GCF = 2.