LCM for 72 and 234
What's the Least Common Multiple (LCM) of 72 and 234?
(Nine hundred thirty-six)
Finding LCM for 72 and 234 using GCF's of these numbers
The first method to find LCM for numbers 72 and 234 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:
LCM = (Number1 × Number2) ÷ GCF
GCF of numbers 72 and 234 is 18, so
LCM = (72 × 234) ÷ 18
LCM = 16848 ÷ 18
LCM = 936
Finding LCM for 72 and 234 by Listing Multiples
The second method to find LCM for numbers 72 and 234 is to list out the common multiples for both nubmers and pick the first which matching:
Multiples of 72: 72, 144, 216, 288, 360, 432, 504, 576, 648, 720, 792, 864, 936, 1008, 1080
Multiples of 234: 234, 468, 702, 936, 1170, 1404
So the LCM for 72 and 234 is 936
Finding LCM for 72 and 234 by Prime Factorization
Another method to find LCM for numbers 72 and 234 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:
All Prime Factors of 72: 2, 2, 2, 3, 3 (exponent form: 23, 32)
All Prime Factors of 234: 2, 3, 3, 13 (exponent form: 21, 32, 131)
23 × 32 × 131 = 936
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/72--234">What is the LCM of 72 and 234? - Calculatio</a>
LCM Table
| Number 1 | Number 2 | LCM |
|---|---|---|
| 57 | 234 | 4446 |
| 58 | 234 | 6786 |
| 59 | 234 | 13806 |
| 60 | 234 | 2340 |
| 61 | 234 | 14274 |
| 62 | 234 | 7254 |
| 63 | 234 | 1638 |
| 64 | 234 | 7488 |
| 65 | 234 | 1170 |
| 66 | 234 | 2574 |
| 67 | 234 | 15678 |
| 68 | 234 | 7956 |
| 69 | 234 | 5382 |
| 70 | 234 | 8190 |
| 71 | 234 | 16614 |
| 72 | 234 | 936 |
| 73 | 234 | 17082 |
| 74 | 234 | 8658 |
| 75 | 234 | 5850 |
| 76 | 234 | 8892 |
| 77 | 234 | 18018 |
| 78 | 234 | 234 |
| 79 | 234 | 18486 |
| 80 | 234 | 9360 |
| 81 | 234 | 2106 |
| 82 | 234 | 9594 |
| 83 | 234 | 19422 |
| 84 | 234 | 3276 |
| 85 | 234 | 19890 |
| 86 | 234 | 10062 |
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