Least Common Multiple (LCM) of 155 and 164
The least common multiple (LCM) of 155 and 164 is 25420.
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 164?
First, calculate the GCD of 155 and 164 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 155 ÷ 164 = 0 remainder 155 |
| 2 | 164 ÷ 155 = 1 remainder 9 |
| 3 | 155 ÷ 9 = 17 remainder 2 |
| 4 | 9 ÷ 2 = 4 remainder 1 |
| 5 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 197 and 193 | 38021 |
| 92 and 25 | 2300 |
| 185 and 99 | 18315 |
| 162 and 109 | 17658 |
| 17 and 42 | 714 |