Least Common Multiple (LCM) of 134 and 168
The least common multiple (LCM) of 134 and 168 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 134 and 168?
First, calculate the GCD of 134 and 168 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 134 ÷ 168 = 0 remainder 134 |
| 2 | 168 ÷ 134 = 1 remainder 34 |
| 3 | 134 ÷ 34 = 3 remainder 32 |
| 4 | 34 ÷ 32 = 1 remainder 2 |
| 5 | 32 ÷ 2 = 16 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 137 and 144 | 19728 |
| 111 and 62 | 6882 |
| 14 and 68 | 476 |
| 14 and 35 | 70 |
| 55 and 140 | 1540 |