Least Common Multiple (LCM) of 135 and 94
The least common multiple (LCM) of 135 and 94 is 12690.
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 94?
First, calculate the GCD of 135 and 94 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 135 ÷ 94 = 1 remainder 41 |
| 2 | 94 ÷ 41 = 2 remainder 12 |
| 3 | 41 ÷ 12 = 3 remainder 5 |
| 4 | 12 ÷ 5 = 2 remainder 2 |
| 5 | 5 ÷ 2 = 2 remainder 1 |
| 6 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 97 and 55 | 5335 |
| 148 and 198 | 14652 |
| 166 and 122 | 10126 |
| 142 and 115 | 16330 |
| 117 and 46 | 5382 |