Least Common Multiple (LCM) of 168 and 134
The least common multiple (LCM) of 168 and 134 is 11256.
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 168 and 134?
First, calculate the GCD of 168 and 134 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 168 ÷ 134 = 1 remainder 34 |
| 2 | 134 ÷ 34 = 3 remainder 32 |
| 3 | 34 ÷ 32 = 1 remainder 2 |
| 4 | 32 ÷ 2 = 16 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 137 and 101 | 13837 |
| 155 and 110 | 3410 |
| 68 and 16 | 272 |
| 53 and 101 | 5353 |
| 17 and 21 | 357 |