Least Common Multiple (LCM) of 66 and 137
The least common multiple (LCM) of 66 and 137 is 9042.
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 137?
First, calculate the GCD of 66 and 137 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 66 ÷ 137 = 0 remainder 66 |
| 2 | 137 ÷ 66 = 2 remainder 5 |
| 3 | 66 ÷ 5 = 13 remainder 1 |
| 4 | 5 ÷ 1 = 5 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 172 and 135 | 23220 |
| 193 and 43 | 8299 |
| 128 and 88 | 1408 |
| 84 and 162 | 2268 |
| 196 and 193 | 37828 |