Least Common Multiple (LCM) of 66 and 149
The least common multiple (LCM) of 66 and 149 is 9834.
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 66 and 149?
First, calculate the GCD of 66 and 149 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 66 ÷ 149 = 0 remainder 66 |
| 2 | 149 ÷ 66 = 2 remainder 17 |
| 3 | 66 ÷ 17 = 3 remainder 15 |
| 4 | 17 ÷ 15 = 1 remainder 2 |
| 5 | 15 ÷ 2 = 7 remainder 1 |
| 6 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 118 and 191 | 22538 |
| 147 and 66 | 3234 |
| 142 and 149 | 21158 |
| 162 and 84 | 2268 |
| 136 and 197 | 26792 |