LCM for 16 and 168
What's the Least Common Multiple (LCM) of 16 and 168?
(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
- Greatest Common Factor - Find the Greatest Common Factor (GCF) of two numbers
<a href="https://calculat.io/en/number/least-common-multiple-lcm-of/16--168">What is the LCM of 16 and 168? - Calculatio</a>
LCM Table
| Number 1 | Number 2 | LCM |
|---|---|---|
| 1 | 168 | 168 |
| 2 | 168 | 168 |
| 3 | 168 | 168 |
| 4 | 168 | 168 |
| 5 | 168 | 840 |
| 6 | 168 | 168 |
| 7 | 168 | 168 |
| 8 | 168 | 168 |
| 9 | 168 | 504 |
| 10 | 168 | 840 |
| 11 | 168 | 1848 |
| 12 | 168 | 168 |
| 13 | 168 | 2184 |
| 14 | 168 | 168 |
| 15 | 168 | 840 |
| 16 | 168 | 336 |
| 17 | 168 | 2856 |
| 18 | 168 | 504 |
| 19 | 168 | 3192 |
| 20 | 168 | 840 |
| 21 | 168 | 168 |
| 22 | 168 | 1848 |
| 23 | 168 | 3864 |
| 24 | 168 | 168 |
| 25 | 168 | 4200 |
| 26 | 168 | 2184 |
| 27 | 168 | 1512 |
| 28 | 168 | 168 |
| 29 | 168 | 4872 |
| 30 | 168 | 840 |
About "Least Common Multiple" Calculator
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