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 |
|---|---|
| 174 and 112 | 9744 |
| 153 and 103 | 15759 |
| 128 and 108 | 3456 |
| 101 and 155 | 15655 |
| 71 and 151 | 10721 |