Least Common Multiple (LCM) of 171 and 155
The least common multiple (LCM) of 171 and 155 is 26505.
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 171 and 155?
First, calculate the GCD of 171 and 155 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 171 ÷ 155 = 1 remainder 16 |
| 2 | 155 ÷ 16 = 9 remainder 11 |
| 3 | 16 ÷ 11 = 1 remainder 5 |
| 4 | 11 ÷ 5 = 2 remainder 1 |
| 5 | 5 ÷ 1 = 5 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 103 and 111 | 11433 |
| 93 and 129 | 3999 |
| 14 and 109 | 1526 |
| 53 and 145 | 7685 |
| 174 and 103 | 17922 |