Least Common Multiple (LCM) of 102 and 161
The least common multiple (LCM) of 102 and 161 is 16422.
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 102 and 161?
First, calculate the GCD of 102 and 161 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 102 ÷ 161 = 0 remainder 102 |
| 2 | 161 ÷ 102 = 1 remainder 59 |
| 3 | 102 ÷ 59 = 1 remainder 43 |
| 4 | 59 ÷ 43 = 1 remainder 16 |
| 5 | 43 ÷ 16 = 2 remainder 11 |
| 6 | 16 ÷ 11 = 1 remainder 5 |
| 7 | 11 ÷ 5 = 2 remainder 1 |
| 8 | 5 ÷ 1 = 5 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 163 and 170 | 27710 |
| 25 and 30 | 150 |
| 16 and 149 | 2384 |
| 125 and 19 | 2375 |
| 199 and 137 | 27263 |