Least Common Multiple (LCM) of 178 and 155
The least common multiple (LCM) of 178 and 155 is 27590.
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 178 and 155?
First, calculate the GCD of 178 and 155 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 178 ÷ 155 = 1 remainder 23 |
| 2 | 155 ÷ 23 = 6 remainder 17 |
| 3 | 23 ÷ 17 = 1 remainder 6 |
| 4 | 17 ÷ 6 = 2 remainder 5 |
| 5 | 6 ÷ 5 = 1 remainder 1 |
| 6 | 5 ÷ 1 = 5 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 66 and 26 | 858 |
| 155 and 38 | 5890 |
| 25 and 44 | 1100 |
| 26 and 43 | 1118 |
| 165 and 130 | 4290 |