LCM for 144 and 168
What's the Least Common Multiple (LCM) of 144 and 168?
(One thousand, eight)
Finding LCM for 144 and 168 using GCF's of these numbers
The first method to find LCM for numbers 144 and 168 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:
LCM = (Number1 × Number2) ÷ GCF
GCF of numbers 144 and 168 is 24, so
LCM = (144 × 168) ÷ 24
LCM = 24192 ÷ 24
LCM = 1008
Finding LCM for 144 and 168 by Listing Multiples
The second method to find LCM for numbers 144 and 168 is to list out the common multiples for both nubmers and pick the first which matching:
Multiples of 144: 144, 288, 432, 576, 720, 864, 1008, 1152, 1296
Multiples of 168: 168, 336, 504, 672, 840, 1008, 1176, 1344
So the LCM for 144 and 168 is 1008
Finding LCM for 144 and 168 by Prime Factorization
Another method to find LCM for numbers 144 and 168 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:
All Prime Factors of 144: 2, 2, 2, 2, 3, 3 (exponent form: 24, 32)
All Prime Factors of 168: 2, 2, 2, 3, 7 (exponent form: 23, 31, 71)
24 × 32 × 71 = 1008
Related Calculations
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/144--168">What is the LCM of 144 and 168? - Calculatio</a>
LCM Table
| Number 1 | Number 2 | LCM |
|---|---|---|
| 129 | 168 | 7224 |
| 130 | 168 | 10920 |
| 131 | 168 | 22008 |
| 132 | 168 | 1848 |
| 133 | 168 | 3192 |
| 134 | 168 | 11256 |
| 135 | 168 | 7560 |
| 136 | 168 | 2856 |
| 137 | 168 | 23016 |
| 138 | 168 | 3864 |
| 139 | 168 | 23352 |
| 140 | 168 | 840 |
| 141 | 168 | 7896 |
| 142 | 168 | 11928 |
| 143 | 168 | 24024 |
| 144 | 168 | 1008 |
| 145 | 168 | 24360 |
| 146 | 168 | 12264 |
| 147 | 168 | 1176 |
| 148 | 168 | 6216 |
| 149 | 168 | 25032 |
| 150 | 168 | 4200 |
| 151 | 168 | 25368 |
| 152 | 168 | 3192 |
| 153 | 168 | 8568 |
| 154 | 168 | 1848 |
| 155 | 168 | 26040 |
| 156 | 168 | 2184 |
| 157 | 168 | 26376 |
| 158 | 168 | 13272 |
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