Least Common Multiple (LCM) of 155 and 170
The least common multiple (LCM) of 155 and 170 is 5270.
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 170?
First, calculate the GCD of 155 and 170 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 155 ÷ 170 = 0 remainder 155 |
| 2 | 170 ÷ 155 = 1 remainder 15 |
| 3 | 155 ÷ 15 = 10 remainder 5 |
| 4 | 15 ÷ 5 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 189 and 25 | 4725 |
| 28 and 27 | 756 |
| 120 and 182 | 10920 |
| 195 and 38 | 7410 |
| 90 and 140 | 1260 |