Least Common Multiple (LCM) of 119 and 170
The least common multiple (LCM) of 119 and 170 is 1190.
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 119 and 170?
First, calculate the GCD of 119 and 170 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 119 ÷ 170 = 0 remainder 119 |
| 2 | 170 ÷ 119 = 1 remainder 51 |
| 3 | 119 ÷ 51 = 2 remainder 17 |
| 4 | 51 ÷ 17 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 166 and 10 | 830 |
| 67 and 123 | 8241 |
| 198 and 123 | 8118 |
| 156 and 17 | 2652 |
| 71 and 46 | 3266 |