Least Common Multiple (LCM) of 134 and 136
The least common multiple (LCM) of 134 and 136 is 9112.
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 136?
First, calculate the GCD of 134 and 136 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 134 ÷ 136 = 0 remainder 134 |
| 2 | 136 ÷ 134 = 1 remainder 2 |
| 3 | 134 ÷ 2 = 67 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 21 and 21 | 21 |
| 139 and 43 | 5977 |
| 169 and 156 | 2028 |
| 196 and 176 | 8624 |
| 29 and 137 | 3973 |