Least Common Multiple (LCM) of 155 and 158
The least common multiple (LCM) of 155 and 158 is 24490.
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 155 and 158?
First, calculate the GCD of 155 and 158 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 155 ÷ 158 = 0 remainder 155 |
| 2 | 158 ÷ 155 = 1 remainder 3 |
| 3 | 155 ÷ 3 = 51 remainder 2 |
| 4 | 3 ÷ 2 = 1 remainder 1 |
| 5 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 197 and 89 | 17533 |
| 121 and 138 | 16698 |
| 120 and 154 | 9240 |
| 56 and 195 | 10920 |
| 33 and 70 | 2310 |