Least Common Multiple (LCM) of 149 and 193
The least common multiple (LCM) of 149 and 193 is 28757.
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 149 and 193?
First, calculate the GCD of 149 and 193 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 149 ÷ 193 = 0 remainder 149 |
| 2 | 193 ÷ 149 = 1 remainder 44 |
| 3 | 149 ÷ 44 = 3 remainder 17 |
| 4 | 44 ÷ 17 = 2 remainder 10 |
| 5 | 17 ÷ 10 = 1 remainder 7 |
| 6 | 10 ÷ 7 = 1 remainder 3 |
| 7 | 7 ÷ 3 = 2 remainder 1 |
| 8 | 3 ÷ 1 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 70 and 47 | 3290 |
| 36 and 88 | 792 |
| 113 and 90 | 10170 |
| 200 and 165 | 6600 |
| 68 and 145 | 9860 |