Least Common Multiple (LCM) of 193 and 132
The least common multiple (LCM) of 193 and 132 is 25476.
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 193 and 132?
First, calculate the GCD of 193 and 132 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 193 ÷ 132 = 1 remainder 61 |
| 2 | 132 ÷ 61 = 2 remainder 10 |
| 3 | 61 ÷ 10 = 6 remainder 1 |
| 4 | 10 ÷ 1 = 10 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 30 and 115 | 690 |
| 79 and 43 | 3397 |
| 170 and 186 | 15810 |
| 121 and 167 | 20207 |
| 56 and 12 | 168 |