Least Common Multiple (LCM) of 135 and 134
The least common multiple (LCM) of 135 and 134 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 135 and 134?
First, calculate the GCD of 135 and 134 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 135 ÷ 134 = 1 remainder 1 |
| 2 | 134 ÷ 1 = 134 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 54 and 111 | 1998 |
| 153 and 185 | 28305 |
| 190 and 193 | 36670 |
| 180 and 119 | 21420 |
| 139 and 48 | 6672 |