Least Common Multiple (LCM) of 155 and 23
The least common multiple (LCM) of 155 and 23 is 3565.
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 23?
First, calculate the GCD of 155 and 23 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 155 ÷ 23 = 6 remainder 17 |
| 2 | 23 ÷ 17 = 1 remainder 6 |
| 3 | 17 ÷ 6 = 2 remainder 5 |
| 4 | 6 ÷ 5 = 1 remainder 1 |
| 5 | 5 ÷ 1 = 5 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 62 and 43 | 2666 |
| 84 and 113 | 9492 |
| 173 and 175 | 30275 |
| 126 and 146 | 9198 |
| 116 and 20 | 580 |