Least Common Multiple (LCM) of 166 and 137
The least common multiple (LCM) of 166 and 137 is 22742.
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 137?
First, calculate the GCD of 166 and 137 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 166 ÷ 137 = 1 remainder 29 |
| 2 | 137 ÷ 29 = 4 remainder 21 |
| 3 | 29 ÷ 21 = 1 remainder 8 |
| 4 | 21 ÷ 8 = 2 remainder 5 |
| 5 | 8 ÷ 5 = 1 remainder 3 |
| 6 | 5 ÷ 3 = 1 remainder 2 |
| 7 | 3 ÷ 2 = 1 remainder 1 |
| 8 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 36 and 82 | 1476 |
| 187 and 157 | 29359 |
| 179 and 101 | 18079 |
| 71 and 128 | 9088 |
| 114 and 111 | 4218 |