Least Common Multiple (LCM) of 170 and 140
The least common multiple (LCM) of 170 and 140 is 2380.
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 140?
First, calculate the GCD of 170 and 140 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 170 ÷ 140 = 1 remainder 30 |
| 2 | 140 ÷ 30 = 4 remainder 20 |
| 3 | 30 ÷ 20 = 1 remainder 10 |
| 4 | 20 ÷ 10 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 186 and 199 | 37014 |
| 200 and 104 | 2600 |
| 170 and 112 | 9520 |
| 192 and 199 | 38208 |
| 38 and 90 | 1710 |