Least Common Multiple (LCM) of 134 and 135
The least common multiple (LCM) of 134 and 135 is 18090.
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 135?
First, calculate the GCD of 134 and 135 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 134 ÷ 135 = 0 remainder 134 |
| 2 | 135 ÷ 134 = 1 remainder 1 |
| 3 | 134 ÷ 1 = 134 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 166 and 73 | 12118 |
| 117 and 39 | 117 |
| 59 and 38 | 2242 |
| 154 and 154 | 154 |
| 183 and 98 | 17934 |