LCM for 16 and 168

What's the Least Common Multiple (LCM) of 16 and 168?

Answer: LCM of 16 and 168 is 336

(Three hundred thirty-six)

Finding LCM for 16 and 168 using GCF's of these numbers

The first method to find LCM for numbers 16 and 168 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

LCM = (Number1 × Number2) ÷ GCF

GCF of numbers 16 and 168 is 8, so

LCM = (16 × 168) ÷ 8

LCM = 2688 ÷ 8

LCM = 336

Finding LCM for 16 and 168 by Listing Multiples

The second method to find LCM for numbers 16 and 168 is to list out the common multiples for both nubmers and pick the first which matching:

Multiples of 16: 16, 32, 48, 64, 80, 96, 112, 128, 144, 160, 176, 192, 208, 224, 240, 256, 272, 288, 304, 320, 336, 352, 368

Multiples of 168: 168, 336, 504, 672

So the LCM for 16 and 168 is 336

Finding LCM for 16 and 168 by Prime Factorization

Another method to find LCM for numbers 16 and 168 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 168: 2, 2, 2, 3, 7 (exponent form: 23, 31, 71)

24 × 31 × 71 = 336

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 168? (The answer is: 336). Select the first number (e.g. '16') and the second number (e.g. '168'). 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

LCM Table

Number 1Number 2LCM
1168168
2168168
3168168
4168168
5168840
6168168
7168168
8168168
9168504
10168840
111681848
12168168
131682184
14168168
15168840
16168
171682856
18168504
191683192
20168840
21168168
221681848
231683864
24168168
251684200
261682184
271681512
28168168
291684872
30168840

FAQ

What's the Least Common Multiple (LCM) of 16 and 168?

LCM of 16 and 168 is 336