LCM for 56 and 176
What's the Least Common Multiple (LCM) of 56 and 176?
(One thousand, two hundred thirty-two)
Finding LCM for 56 and 176 using GCF's of these numbers
The first method to find LCM for numbers 56 and 176 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:
LCM = (Number1 × Number2) ÷ GCF
GCF of numbers 56 and 176 is 8, so
LCM = (56 × 176) ÷ 8
LCM = 9856 ÷ 8
LCM = 1232
Finding LCM for 56 and 176 by Listing Multiples
The second method to find LCM for numbers 56 and 176 is to list out the common multiples for both nubmers and pick the first which matching:
Multiples of 56: 56, 112, 168, 224, 280, 336, 392, 448, 504, 560, 616, 672, 728, 784, 840, 896, 952, 1008, 1064, 1120, 1176, 1232, 1288, 1344
Multiples of 176: 176, 352, 528, 704, 880, 1056, 1232, 1408, 1584
So the LCM for 56 and 176 is 1232
Finding LCM for 56 and 176 by Prime Factorization
Another method to find LCM for numbers 56 and 176 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:
All Prime Factors of 56: 2, 2, 2, 7 (exponent form: 23, 71)
All Prime Factors of 176: 2, 2, 2, 2, 11 (exponent form: 24, 111)
24 × 71 × 111 = 1232
<a href="https://calculat.io/en/number/least-common-multiple-lcm-of/56--176">What is the LCM of 56 and 176? - Calculatio</a>
LCM Table
| Number 1 | Number 2 | LCM |
|---|---|---|
| 41 | 176 | 7216 |
| 42 | 176 | 3696 |
| 43 | 176 | 7568 |
| 44 | 176 | 176 |
| 45 | 176 | 7920 |
| 46 | 176 | 4048 |
| 47 | 176 | 8272 |
| 48 | 176 | 528 |
| 49 | 176 | 8624 |
| 50 | 176 | 4400 |
| 51 | 176 | 8976 |
| 52 | 176 | 2288 |
| 53 | 176 | 9328 |
| 54 | 176 | 4752 |
| 55 | 176 | 880 |
| 56 | 176 | 1232 |
| 57 | 176 | 10032 |
| 58 | 176 | 5104 |
| 59 | 176 | 10384 |
| 60 | 176 | 2640 |
| 61 | 176 | 10736 |
| 62 | 176 | 5456 |
| 63 | 176 | 11088 |
| 64 | 176 | 704 |
| 65 | 176 | 11440 |
| 66 | 176 | 528 |
| 67 | 176 | 11792 |
| 68 | 176 | 2992 |
| 69 | 176 | 12144 |
| 70 | 176 | 6160 |
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