Least Common Multiple (LCM) of 171 and 92
The least common multiple (LCM) of 171 and 92 is 15732.
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 92?
First, calculate the GCD of 171 and 92 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 171 ÷ 92 = 1 remainder 79 |
| 2 | 92 ÷ 79 = 1 remainder 13 |
| 3 | 79 ÷ 13 = 6 remainder 1 |
| 4 | 13 ÷ 1 = 13 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 42 and 111 | 1554 |
| 113 and 12 | 1356 |
| 78 and 27 | 702 |
| 157 and 93 | 14601 |
| 105 and 102 | 3570 |