Least Common Multiple (LCM) of 170 and 115
The least common multiple (LCM) of 170 and 115 is 3910.
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 115?
First, calculate the GCD of 170 and 115 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 170 ÷ 115 = 1 remainder 55 |
| 2 | 115 ÷ 55 = 2 remainder 5 |
| 3 | 55 ÷ 5 = 11 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 180 and 55 | 1980 |
| 107 and 151 | 16157 |
| 178 and 86 | 7654 |
| 12 and 153 | 612 |
| 90 and 195 | 1170 |