Least Common Multiple (LCM) of 133 and 136
The least common multiple (LCM) of 133 and 136 is 18088.
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 133 and 136?
First, calculate the GCD of 133 and 136 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 133 ÷ 136 = 0 remainder 133 |
| 2 | 136 ÷ 133 = 1 remainder 3 |
| 3 | 133 ÷ 3 = 44 remainder 1 |
| 4 | 3 ÷ 1 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 116 and 100 | 2900 |
| 34 and 70 | 1190 |
| 106 and 180 | 9540 |
| 114 and 135 | 5130 |
| 86 and 181 | 15566 |