Least Common Multiple (LCM) of 171 and 114
The least common multiple (LCM) of 171 and 114 is 342.
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 114?
First, calculate the GCD of 171 and 114 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 171 ÷ 114 = 1 remainder 57 |
| 2 | 114 ÷ 57 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 121 and 129 | 15609 |
| 88 and 159 | 13992 |
| 199 and 180 | 35820 |
| 162 and 167 | 27054 |
| 24 and 26 | 312 |