Least Common Multiple (LCM) of 193 and 160
The least common multiple (LCM) of 193 and 160 is 30880.
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 160?
First, calculate the GCD of 193 and 160 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 193 ÷ 160 = 1 remainder 33 |
| 2 | 160 ÷ 33 = 4 remainder 28 |
| 3 | 33 ÷ 28 = 1 remainder 5 |
| 4 | 28 ÷ 5 = 5 remainder 3 |
| 5 | 5 ÷ 3 = 1 remainder 2 |
| 6 | 3 ÷ 2 = 1 remainder 1 |
| 7 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 193 and 151 | 29143 |
| 113 and 172 | 19436 |
| 82 and 160 | 6560 |
| 185 and 74 | 370 |
| 47 and 72 | 3384 |