Least Common Multiple (LCM) of 155 and 176
The least common multiple (LCM) of 155 and 176 is 27280.
What is the Least Common Multiple (LCM)?
The LCM of two integers is the smallest positive integer that is divisible by both numbers. It is often used to find common denominators and solve problems involving periodic events.
Formula for LCM
The LCM of two numbers can be calculated using their GCD:
LCM(a, b) = |a × b| ÷ GCD(a, b)
How to Calculate the LCM of 155 and 176?
First, calculate the GCD of 155 and 176 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 155 ÷ 176 = 0 remainder 155 |
| 2 | 176 ÷ 155 = 1 remainder 21 |
| 3 | 155 ÷ 21 = 7 remainder 8 |
| 4 | 21 ÷ 8 = 2 remainder 5 |
| 5 | 8 ÷ 5 = 1 remainder 3 |
| 6 | 5 ÷ 3 = 1 remainder 2 |
| 7 | 3 ÷ 2 = 1 remainder 1 |
| 8 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 67 and 77 | 5159 |
| 165 and 67 | 11055 |
| 111 and 27 | 999 |
| 194 and 107 | 20758 |
| 51 and 13 | 663 |