Least Common Multiple (LCM) of 159 and 158
The least common multiple (LCM) of 159 and 158 is 25122.
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 158?
First, calculate the GCD of 159 and 158 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 159 ÷ 158 = 1 remainder 1 |
| 2 | 158 ÷ 1 = 158 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 191 and 31 | 5921 |
| 92 and 106 | 4876 |
| 172 and 43 | 172 |
| 113 and 121 | 13673 |
| 137 and 185 | 25345 |