Least Common Multiple (LCM) of 155 and 193
The least common multiple (LCM) of 155 and 193 is 29915.
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 155 and 193?
First, calculate the GCD of 155 and 193 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 155 ÷ 193 = 0 remainder 155 |
| 2 | 193 ÷ 155 = 1 remainder 38 |
| 3 | 155 ÷ 38 = 4 remainder 3 |
| 4 | 38 ÷ 3 = 12 remainder 2 |
| 5 | 3 ÷ 2 = 1 remainder 1 |
| 6 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 192 and 140 | 6720 |
| 103 and 122 | 12566 |
| 47 and 66 | 3102 |
| 141 and 47 | 141 |
| 106 and 11 | 1166 |