Least Common Multiple (LCM) of 132 and 133
The least common multiple (LCM) of 132 and 133 is 17556.
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 132 and 133?
First, calculate the GCD of 132 and 133 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 132 ÷ 133 = 0 remainder 132 |
| 2 | 133 ÷ 132 = 1 remainder 1 |
| 3 | 132 ÷ 1 = 132 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 16 and 146 | 1168 |
| 188 and 101 | 18988 |
| 21 and 73 | 1533 |
| 77 and 178 | 13706 |
| 70 and 184 | 6440 |