Least Common Multiple (LCM) of 159 and 155
The least common multiple (LCM) of 159 and 155 is 24645.
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 159 and 155?
First, calculate the GCD of 159 and 155 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 159 ÷ 155 = 1 remainder 4 |
| 2 | 155 ÷ 4 = 38 remainder 3 |
| 3 | 4 ÷ 3 = 1 remainder 1 |
| 4 | 3 ÷ 1 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 109 and 95 | 10355 |
| 100 and 55 | 1100 |
| 39 and 89 | 3471 |
| 93 and 76 | 7068 |
| 197 and 101 | 19897 |