Least Common Multiple (LCM) of 161 and 99
The least common multiple (LCM) of 161 and 99 is 15939.
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 161 and 99?
First, calculate the GCD of 161 and 99 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 161 ÷ 99 = 1 remainder 62 |
| 2 | 99 ÷ 62 = 1 remainder 37 |
| 3 | 62 ÷ 37 = 1 remainder 25 |
| 4 | 37 ÷ 25 = 1 remainder 12 |
| 5 | 25 ÷ 12 = 2 remainder 1 |
| 6 | 12 ÷ 1 = 12 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 13 and 99 | 1287 |
| 16 and 190 | 1520 |
| 160 and 144 | 1440 |
| 24 and 52 | 312 |
| 60 and 159 | 3180 |