Least Common Multiple (LCM) of 140 and 166
The least common multiple (LCM) of 140 and 166 is 11620.
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 140 and 166?
First, calculate the GCD of 140 and 166 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 140 ÷ 166 = 0 remainder 140 |
| 2 | 166 ÷ 140 = 1 remainder 26 |
| 3 | 140 ÷ 26 = 5 remainder 10 |
| 4 | 26 ÷ 10 = 2 remainder 6 |
| 5 | 10 ÷ 6 = 1 remainder 4 |
| 6 | 6 ÷ 4 = 1 remainder 2 |
| 7 | 4 ÷ 2 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 165 and 114 | 6270 |
| 105 and 193 | 20265 |
| 129 and 160 | 20640 |
| 162 and 149 | 24138 |
| 14 and 109 | 1526 |