Least Common Multiple (LCM) of 170 and 155
The least common multiple (LCM) of 170 and 155 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 170 and 155?
First, calculate the GCD of 170 and 155 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 170 ÷ 155 = 1 remainder 15 |
| 2 | 155 ÷ 15 = 10 remainder 5 |
| 3 | 15 ÷ 5 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 101 and 191 | 19291 |
| 98 and 104 | 5096 |
| 180 and 62 | 5580 |
| 114 and 123 | 4674 |
| 134 and 83 | 11122 |