Least Common Multiple (LCM) of 166 and 187
The least common multiple (LCM) of 166 and 187 is 31042.
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 187?
First, calculate the GCD of 166 and 187 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 166 ÷ 187 = 0 remainder 166 |
| 2 | 187 ÷ 166 = 1 remainder 21 |
| 3 | 166 ÷ 21 = 7 remainder 19 |
| 4 | 21 ÷ 19 = 1 remainder 2 |
| 5 | 19 ÷ 2 = 9 remainder 1 |
| 6 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 42 and 18 | 126 |
| 120 and 136 | 2040 |
| 20 and 56 | 280 |
| 132 and 29 | 3828 |
| 53 and 89 | 4717 |