LCM for 120 and 144
What's the Least Common Multiple (LCM) of 120 and 144?
(Seven hundred twenty)
Finding LCM for 120 and 144 using GCF's of these numbers
The first method to find LCM for numbers 120 and 144 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:
LCM = (Number1 × Number2) ÷ GCF
GCF of numbers 120 and 144 is 24, so
LCM = (120 × 144) ÷ 24
LCM = 17280 ÷ 24
LCM = 720
Finding LCM for 120 and 144 by Listing Multiples
The second method to find LCM for numbers 120 and 144 is to list out the common multiples for both nubmers and pick the first which matching:
Multiples of 120: 120, 240, 360, 480, 600, 720, 840, 960
Multiples of 144: 144, 288, 432, 576, 720, 864, 1008
So the LCM for 120 and 144 is 720
Finding LCM for 120 and 144 by Prime Factorization
Another method to find LCM for numbers 120 and 144 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:
All Prime Factors of 120: 2, 2, 2, 3, 5 (exponent form: 23, 31, 51)
All Prime Factors of 144: 2, 2, 2, 2, 3, 3 (exponent form: 24, 32)
24 × 32 × 51 = 720
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/120--144">What is the LCM of 120 and 144? - Calculatio</a>
LCM Table
| Number 1 | Number 2 | LCM |
|---|---|---|
| 105 | 144 | 5040 |
| 106 | 144 | 7632 |
| 107 | 144 | 15408 |
| 108 | 144 | 432 |
| 109 | 144 | 15696 |
| 110 | 144 | 7920 |
| 111 | 144 | 5328 |
| 112 | 144 | 1008 |
| 113 | 144 | 16272 |
| 114 | 144 | 2736 |
| 115 | 144 | 16560 |
| 116 | 144 | 4176 |
| 117 | 144 | 1872 |
| 118 | 144 | 8496 |
| 119 | 144 | 17136 |
| 120 | 144 | 720 |
| 121 | 144 | 17424 |
| 122 | 144 | 8784 |
| 123 | 144 | 5904 |
| 124 | 144 | 4464 |
| 125 | 144 | 18000 |
| 126 | 144 | 1008 |
| 127 | 144 | 18288 |
| 128 | 144 | 1152 |
| 129 | 144 | 6192 |
| 130 | 144 | 9360 |
| 131 | 144 | 18864 |
| 132 | 144 | 1584 |
| 133 | 144 | 19152 |
| 134 | 144 | 9648 |
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