LCM for 8 and 58
What's the Least Common Multiple (LCM) of 8 and 58?
(Two hundred thirty-two)
Finding LCM for 8 and 58 using GCF's of these numbers
The first method to find LCM for numbers 8 and 58 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:
LCM = (Number1 × Number2) ÷ GCF
GCF of numbers 8 and 58 is 2, so
LCM = (8 × 58) ÷ 2
LCM = 464 ÷ 2
LCM = 232
Finding LCM for 8 and 58 by Listing Multiples
The second method to find LCM for numbers 8 and 58 is to list out the common multiples for both nubmers and pick the first which matching:
Multiples of 8: 8, 16, 24, 32, 40, 48, 56, 64, 72, 80, 88, 96, 104, 112, 120, 128, 136, 144, 152, 160, 168, 176, 184, 192, 200, 208, 216, 224, 232, 240, 248
Multiples of 58: 58, 116, 174, 232, 290, 348
So the LCM for 8 and 58 is 232
Finding LCM for 8 and 58 by Prime Factorization
Another method to find LCM for numbers 8 and 58 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:
All Prime Factors of 8: 2, 2, 2 (exponent form: 23)
All Prime Factors of 58: 2, 29 (exponent form: 21, 291)
23 × 291 = 232
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/8--58">What is the LCM of 8 and 58? - Calculatio</a>
LCM Table
| Number 1 | Number 2 | LCM |
|---|---|---|
| 1 | 58 | 58 |
| 2 | 58 | 58 |
| 3 | 58 | 174 |
| 4 | 58 | 116 |
| 5 | 58 | 290 |
| 6 | 58 | 174 |
| 7 | 58 | 406 |
| 8 | 58 | 232 |
| 9 | 58 | 522 |
| 10 | 58 | 290 |
| 11 | 58 | 638 |
| 12 | 58 | 348 |
| 13 | 58 | 754 |
| 14 | 58 | 406 |
| 15 | 58 | 870 |
| 16 | 58 | 464 |
| 17 | 58 | 986 |
| 18 | 58 | 522 |
| 19 | 58 | 1102 |
| 20 | 58 | 580 |
| 21 | 58 | 1218 |
| 22 | 58 | 638 |
| 23 | 58 | 1334 |
| 24 | 58 | 696 |
| 25 | 58 | 1450 |
| 26 | 58 | 754 |
| 27 | 58 | 1566 |
| 28 | 58 | 812 |
| 29 | 58 | 58 |
| 30 | 58 | 870 |
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