Least Common Multiple (LCM) of 193 and 152
The least common multiple (LCM) of 193 and 152 is 29336.
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 152?
First, calculate the GCD of 193 and 152 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 193 ÷ 152 = 1 remainder 41 |
| 2 | 152 ÷ 41 = 3 remainder 29 |
| 3 | 41 ÷ 29 = 1 remainder 12 |
| 4 | 29 ÷ 12 = 2 remainder 5 |
| 5 | 12 ÷ 5 = 2 remainder 2 |
| 6 | 5 ÷ 2 = 2 remainder 1 |
| 7 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 76 and 26 | 988 |
| 51 and 146 | 7446 |
| 157 and 133 | 20881 |
| 105 and 91 | 1365 |
| 24 and 80 | 240 |