LCM for 16 and 20

"Least Common Multiple" Calculator

Least Common Multiple of

and

What's the Least Common Multiple (LCM) of 16 and 20?

Answer

LCM of 16 and 20 is 80

(Eighty)

Finding LCM for 16 and 20 using GCF of these numbers

The first method to find LCM for numbers 16 and 20 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

LCM = (Number1 × Number2) ÷ GCF

GCF of numbers 16 and 20 is 4, so

LCM = (16 × 20) ÷ 4

LCM = 320 ÷ 4

LCM = 80

Finding LCM for 16 and 20 by Listing Multiples

The second method to find LCM for numbers 16 and 20 is to list out the common multiples for both numbers and pick the first one that matches:

Multiples of 16: 16, 32, 48, 64, 80, 96, 112

Multiples of 20: 20, 40, 60, 80, 100, 120

So the LCM for 16 and 20 is 80

Finding LCM for 16 and 20 by Prime Factorization

Another method to find LCM for numbers 16 and 20 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:

All Prime Factors of 16: 2, 2, 2, 2 (exponent form: 24)

All Prime Factors of 20: 2, 2, 5 (exponent form: 22, 51)

24 × 51 = 80

Related Calculations

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 16 and 20? (The answer is: 80). Select the first number (e.g. '16') and the second number (e.g. '20'). 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 20 20
2 20 20
3 20 60
4 20 20
5 20 20
6 20 60
7 20 140
8 20 40
9 20 180
10 20 20
11 20 220
12 20 60
13 20 260
14 20 140
15 20 60
16 20 80
17 20 340
18 20 180
19 20 380
20 20 20
21 20 420
22 20 220
23 20 460
24 20 120
25 20 100
26 20 260
27 20 540
28 20 140
29 20 580
30 20 60

FAQ

What's the Least Common Multiple (LCM) of 16 and 20?
LCM of 16 and 20 is 80

How to find the LCM of 16 and 20 using prime factorization?
To find the LCM of 16 and 20, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 80.

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 16 and 20: LCM = 80, GCF = 4.

See Also