Least Common Multiple (LCM) of 161 and 36
The least common multiple (LCM) of 161 and 36 is 5796.
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 36?
First, calculate the GCD of 161 and 36 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 161 ÷ 36 = 4 remainder 17 |
| 2 | 36 ÷ 17 = 2 remainder 2 |
| 3 | 17 ÷ 2 = 8 remainder 1 |
| 4 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 168 and 198 | 5544 |
| 155 and 106 | 16430 |
| 85 and 153 | 765 |
| 124 and 189 | 23436 |
| 102 and 144 | 2448 |