Least Common Multiple (LCM) of 193 and 184
The least common multiple (LCM) of 193 and 184 is 35512.
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 184?
First, calculate the GCD of 193 and 184 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 193 ÷ 184 = 1 remainder 9 |
| 2 | 184 ÷ 9 = 20 remainder 4 |
| 3 | 9 ÷ 4 = 2 remainder 1 |
| 4 | 4 ÷ 1 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 181 and 130 | 23530 |
| 183 and 55 | 10065 |
| 66 and 116 | 3828 |
| 182 and 12 | 1092 |
| 20 and 32 | 160 |