Least Common Multiple (LCM) of 193 and 150
The least common multiple (LCM) of 193 and 150 is 28950.
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 150?
First, calculate the GCD of 193 and 150 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 193 ÷ 150 = 1 remainder 43 |
| 2 | 150 ÷ 43 = 3 remainder 21 |
| 3 | 43 ÷ 21 = 2 remainder 1 |
| 4 | 21 ÷ 1 = 21 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 152 and 116 | 4408 |
| 147 and 92 | 13524 |
| 29 and 20 | 580 |
| 96 and 84 | 672 |
| 168 and 22 | 1848 |