Least Common Multiple (LCM) of 180 and 166
The least common multiple (LCM) of 180 and 166 is 14940.
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 180 and 166?
First, calculate the GCD of 180 and 166 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 180 ÷ 166 = 1 remainder 14 |
| 2 | 166 ÷ 14 = 11 remainder 12 |
| 3 | 14 ÷ 12 = 1 remainder 2 |
| 4 | 12 ÷ 2 = 6 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 57 and 114 | 114 |
| 188 and 19 | 3572 |
| 175 and 29 | 5075 |
| 49 and 63 | 441 |
| 75 and 138 | 3450 |