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 |
|---|---|
| 40 and 170 | 680 |
| 167 and 16 | 2672 |
| 141 and 119 | 16779 |
| 42 and 45 | 630 |
| 111 and 184 | 20424 |