Least Common Multiple (LCM) of 133 and 186
The least common multiple (LCM) of 133 and 186 is 24738.
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 186?
First, calculate the GCD of 133 and 186 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 133 ÷ 186 = 0 remainder 133 |
| 2 | 186 ÷ 133 = 1 remainder 53 |
| 3 | 133 ÷ 53 = 2 remainder 27 |
| 4 | 53 ÷ 27 = 1 remainder 26 |
| 5 | 27 ÷ 26 = 1 remainder 1 |
| 6 | 26 ÷ 1 = 26 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 57 and 60 | 1140 |
| 61 and 117 | 7137 |
| 109 and 44 | 4796 |
| 41 and 82 | 82 |
| 152 and 83 | 12616 |