LCM for 78 and 144
What's the Least Common Multiple (LCM) of 78 and 144?
Answer
(One thousand, eight hundred seventy-two)
Finding LCM for 78 and 144 using GCF of these numbers
The first method to find LCM for numbers 78 and 144 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:
LCM = (Number1 × Number2) ÷ GCF
GCF of numbers 78 and 144 is 6, so
LCM = (78 × 144) ÷ 6
LCM = 11232 ÷ 6
LCM = 1872
Finding LCM for 78 and 144 by Listing Multiples
The second method to find LCM for numbers 78 and 144 is to list out the common multiples for both numbers and pick the first one that matches:
Multiples of 78: 78, 156, 234, 312, 390, 468, 546, 624, 702, 780, 858, 936, 1014, 1092, 1170, 1248, 1326, 1404, 1482, 1560, 1638, 1716, 1794, 1872, 1950, 2028
Multiples of 144: 144, 288, 432, 576, 720, 864, 1008, 1152, 1296, 1440, 1584, 1728, 1872, 2016, 2160
So the LCM for 78 and 144 is 1872
Finding LCM for 78 and 144 by Prime Factorization
Another method to find LCM for numbers 78 and 144 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:
All Prime Factors of 78: 2, 3, 13 (exponent form: 21, 31, 131)
All Prime Factors of 144: 2, 2, 2, 2, 3, 3 (exponent form: 24, 32)
24 × 32 × 131 = 1872
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/78--144">What is the LCM of 78 and 144? - Calculatio</a>
LCM Table
| Number 1 | Number 2 | LCM |
|---|---|---|
| 63 | 144 | 1008 |
| 64 | 144 | 576 |
| 65 | 144 | 9360 |
| 66 | 144 | 1584 |
| 67 | 144 | 9648 |
| 68 | 144 | 2448 |
| 69 | 144 | 3312 |
| 70 | 144 | 5040 |
| 71 | 144 | 10224 |
| 72 | 144 | 144 |
| 73 | 144 | 10512 |
| 74 | 144 | 5328 |
| 75 | 144 | 3600 |
| 76 | 144 | 2736 |
| 77 | 144 | 11088 |
| 78 | 144 | 1872 |
| 79 | 144 | 11376 |
| 80 | 144 | 720 |
| 81 | 144 | 1296 |
| 82 | 144 | 5904 |
| 83 | 144 | 11952 |
| 84 | 144 | 1008 |
| 85 | 144 | 12240 |
| 86 | 144 | 6192 |
| 87 | 144 | 4176 |
| 88 | 144 | 1584 |
| 89 | 144 | 12816 |
| 90 | 144 | 720 |
| 91 | 144 | 13104 |
| 92 | 144 | 3312 |
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