Least Common Multiple (LCM) of 92 and 181
The least common multiple (LCM) of 92 and 181 is 16652.
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 92 and 181?
First, calculate the GCD of 92 and 181 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 92 ÷ 181 = 0 remainder 92 |
| 2 | 181 ÷ 92 = 1 remainder 89 |
| 3 | 92 ÷ 89 = 1 remainder 3 |
| 4 | 89 ÷ 3 = 29 remainder 2 |
| 5 | 3 ÷ 2 = 1 remainder 1 |
| 6 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 34 and 102 | 102 |
| 96 and 165 | 5280 |
| 31 and 92 | 2852 |
| 145 and 196 | 28420 |
| 131 and 143 | 18733 |