Least Common Multiple (LCM) of 134 and 137
The least common multiple (LCM) of 134 and 137 is 18358.
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 137?
First, calculate the GCD of 134 and 137 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 134 ÷ 137 = 0 remainder 134 |
| 2 | 137 ÷ 134 = 1 remainder 3 |
| 3 | 134 ÷ 3 = 44 remainder 2 |
| 4 | 3 ÷ 2 = 1 remainder 1 |
| 5 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 132 and 76 | 2508 |
| 97 and 64 | 6208 |
| 189 and 33 | 2079 |
| 166 and 69 | 11454 |
| 102 and 50 | 2550 |