LCM for 16 and 32

"Least Common Multiple" Calculator

Least Common Multiple of

and

What's the Least Common Multiple (LCM) of 16 and 32?

Answer

LCM of 16 and 32 is 32

(Thirty-two)

Finding LCM for 16 and 32 using GCF of these numbers

The first method to find LCM for numbers 16 and 32 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

LCM = (Number1 × Number2) ÷ GCF

GCF of numbers 16 and 32 is 16, so

LCM = (16 × 32) ÷ 16

LCM = 512 ÷ 16

LCM = 32

Finding LCM for 16 and 32 by Listing Multiples

The second method to find LCM for numbers 16 and 32 is to list out the common multiples for both numbers and pick the first one that matches:

Multiples of 16: 16, 32, 48, 64

Multiples of 32: 32, 64, 96

So the LCM for 16 and 32 is 32

Finding LCM for 16 and 32 by Prime Factorization

Another method to find LCM for numbers 16 and 32 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 32: 2, 2, 2, 2, 2 (exponent form: 25)

25 = 32

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 32? (The answer is: 32). Select the first number (e.g. '16') and the second number (e.g. '32'). 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 32 32
2 32 32
3 32 96
4 32 32
5 32 160
6 32 96
7 32 224
8 32 32
9 32 288
10 32 160
11 32 352
12 32 96
13 32 416
14 32 224
15 32 480
16 32 32
17 32 544
18 32 288
19 32 608
20 32 160
21 32 672
22 32 352
23 32 736
24 32 96
25 32 800
26 32 416
27 32 864
28 32 224
29 32 928
30 32 480

FAQ

What's the Least Common Multiple (LCM) of 16 and 32?

LCM of 16 and 32 is 32

How to find the LCM of 16 and 32 using prime factorization?

To find the LCM of 16 and 32, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 32.

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 32: LCM = 32, GCF = 16.