Least Common Multiple (LCM) of 158 and 159
The least common multiple (LCM) of 158 and 159 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 158 and 159?
First, calculate the GCD of 158 and 159 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 158 ÷ 159 = 0 remainder 158 |
| 2 | 159 ÷ 158 = 1 remainder 1 |
| 3 | 158 ÷ 1 = 158 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 65 and 145 | 1885 |
| 88 and 45 | 3960 |
| 155 and 48 | 7440 |
| 198 and 73 | 14454 |
| 164 and 159 | 26076 |