Least Common Multiple (LCM) of 164 and 181
The least common multiple (LCM) of 164 and 181 is 29684.
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 164 and 181?
First, calculate the GCD of 164 and 181 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 164 ÷ 181 = 0 remainder 164 |
| 2 | 181 ÷ 164 = 1 remainder 17 |
| 3 | 164 ÷ 17 = 9 remainder 11 |
| 4 | 17 ÷ 11 = 1 remainder 6 |
| 5 | 11 ÷ 6 = 1 remainder 5 |
| 6 | 6 ÷ 5 = 1 remainder 1 |
| 7 | 5 ÷ 1 = 5 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 20 and 157 | 3140 |
| 128 and 183 | 23424 |
| 44 and 52 | 572 |
| 116 and 29 | 116 |
| 135 and 38 | 5130 |