Least Common Multiple (LCM) of 166 and 156
The least common multiple (LCM) of 166 and 156 is 12948.
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 166 and 156?
First, calculate the GCD of 166 and 156 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 166 ÷ 156 = 1 remainder 10 |
| 2 | 156 ÷ 10 = 15 remainder 6 |
| 3 | 10 ÷ 6 = 1 remainder 4 |
| 4 | 6 ÷ 4 = 1 remainder 2 |
| 5 | 4 ÷ 2 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 195 and 142 | 27690 |
| 188 and 28 | 1316 |
| 29 and 169 | 4901 |
| 184 and 83 | 15272 |
| 183 and 198 | 12078 |