Least Common Multiple (LCM) of 155 and 102
The least common multiple (LCM) of 155 and 102 is 15810.
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 102?
First, calculate the GCD of 155 and 102 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 155 ÷ 102 = 1 remainder 53 |
| 2 | 102 ÷ 53 = 1 remainder 49 |
| 3 | 53 ÷ 49 = 1 remainder 4 |
| 4 | 49 ÷ 4 = 12 remainder 1 |
| 5 | 4 ÷ 1 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 152 and 197 | 29944 |
| 11 and 137 | 1507 |
| 13 and 59 | 767 |
| 71 and 105 | 7455 |
| 195 and 115 | 4485 |