Least Common Multiple (LCM) of 158 and 141
The least common multiple (LCM) of 158 and 141 is 22278.
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 158 and 141?
First, calculate the GCD of 158 and 141 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 158 ÷ 141 = 1 remainder 17 |
| 2 | 141 ÷ 17 = 8 remainder 5 |
| 3 | 17 ÷ 5 = 3 remainder 2 |
| 4 | 5 ÷ 2 = 2 remainder 1 |
| 5 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 58 and 156 | 4524 |
| 141 and 171 | 8037 |
| 142 and 27 | 3834 |
| 28 and 22 | 308 |
| 149 and 199 | 29651 |