Least Common Multiple (LCM) of 134 and 170
The least common multiple (LCM) of 134 and 170 is 11390.
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 134 and 170?
First, calculate the GCD of 134 and 170 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 134 ÷ 170 = 0 remainder 134 |
| 2 | 170 ÷ 134 = 1 remainder 36 |
| 3 | 134 ÷ 36 = 3 remainder 26 |
| 4 | 36 ÷ 26 = 1 remainder 10 |
| 5 | 26 ÷ 10 = 2 remainder 6 |
| 6 | 10 ÷ 6 = 1 remainder 4 |
| 7 | 6 ÷ 4 = 1 remainder 2 |
| 8 | 4 ÷ 2 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 122 and 196 | 11956 |
| 17 and 29 | 493 |
| 194 and 161 | 31234 |
| 52 and 165 | 8580 |
| 79 and 21 | 1659 |