Least Common Multiple (LCM) of 153 and 193
The least common multiple (LCM) of 153 and 193 is 29529.
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 153 and 193?
First, calculate the GCD of 153 and 193 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 153 ÷ 193 = 0 remainder 153 |
| 2 | 193 ÷ 153 = 1 remainder 40 |
| 3 | 153 ÷ 40 = 3 remainder 33 |
| 4 | 40 ÷ 33 = 1 remainder 7 |
| 5 | 33 ÷ 7 = 4 remainder 5 |
| 6 | 7 ÷ 5 = 1 remainder 2 |
| 7 | 5 ÷ 2 = 2 remainder 1 |
| 8 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 146 and 91 | 13286 |
| 39 and 105 | 1365 |
| 69 and 48 | 1104 |
| 130 and 200 | 2600 |
| 137 and 142 | 19454 |