Least Common Multiple (LCM) of 150 and 193
The least common multiple (LCM) of 150 and 193 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 150 and 193?
First, calculate the GCD of 150 and 193 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 150 ÷ 193 = 0 remainder 150 |
| 2 | 193 ÷ 150 = 1 remainder 43 |
| 3 | 150 ÷ 43 = 3 remainder 21 |
| 4 | 43 ÷ 21 = 2 remainder 1 |
| 5 | 21 ÷ 1 = 21 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 72 and 62 | 2232 |
| 50 and 143 | 7150 |
| 13 and 35 | 455 |
| 41 and 24 | 984 |
| 31 and 100 | 3100 |