Least Common Multiple (LCM) of 173 and 92
The least common multiple (LCM) of 173 and 92 is 15916.
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 173 and 92?
First, calculate the GCD of 173 and 92 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 173 ÷ 92 = 1 remainder 81 |
| 2 | 92 ÷ 81 = 1 remainder 11 |
| 3 | 81 ÷ 11 = 7 remainder 4 |
| 4 | 11 ÷ 4 = 2 remainder 3 |
| 5 | 4 ÷ 3 = 1 remainder 1 |
| 6 | 3 ÷ 1 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 102 and 56 | 2856 |
| 28 and 155 | 4340 |
| 12 and 91 | 1092 |
| 63 and 60 | 1260 |
| 162 and 131 | 21222 |