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 |
|---|---|
| 43 and 121 | 5203 |
| 123 and 22 | 2706 |
| 33 and 108 | 1188 |
| 102 and 86 | 4386 |
| 116 and 87 | 348 |