Least Common Multiple (LCM) of 68 and 134
The least common multiple (LCM) of 68 and 134 is 4556.
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 68 and 134?
First, calculate the GCD of 68 and 134 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 68 ÷ 134 = 0 remainder 68 |
| 2 | 134 ÷ 68 = 1 remainder 66 |
| 3 | 68 ÷ 66 = 1 remainder 2 |
| 4 | 66 ÷ 2 = 33 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 37 and 21 | 777 |
| 108 and 23 | 2484 |
| 152 and 156 | 5928 |
| 20 and 77 | 1540 |
| 20 and 123 | 2460 |