Least Common Multiple (LCM) of 133 and 118
The least common multiple (LCM) of 133 and 118 is 15694.
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 118?
First, calculate the GCD of 133 and 118 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 133 ÷ 118 = 1 remainder 15 |
| 2 | 118 ÷ 15 = 7 remainder 13 |
| 3 | 15 ÷ 13 = 1 remainder 2 |
| 4 | 13 ÷ 2 = 6 remainder 1 |
| 5 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 101 and 182 | 18382 |
| 72 and 68 | 1224 |
| 141 and 193 | 27213 |
| 121 and 130 | 15730 |
| 145 and 176 | 25520 |