Least Common Multiple (LCM) of 155 and 161
The least common multiple (LCM) of 155 and 161 is 24955.
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 161?
First, calculate the GCD of 155 and 161 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 155 ÷ 161 = 0 remainder 155 |
| 2 | 161 ÷ 155 = 1 remainder 6 |
| 3 | 155 ÷ 6 = 25 remainder 5 |
| 4 | 6 ÷ 5 = 1 remainder 1 |
| 5 | 5 ÷ 1 = 5 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 135 and 52 | 7020 |
| 27 and 16 | 432 |
| 156 and 52 | 156 |
| 118 and 120 | 7080 |
| 128 and 135 | 17280 |