Least Common Multiple (LCM) of 135 and 166
The least common multiple (LCM) of 135 and 166 is 22410.
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 135 and 166?
First, calculate the GCD of 135 and 166 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 135 ÷ 166 = 0 remainder 135 |
| 2 | 166 ÷ 135 = 1 remainder 31 |
| 3 | 135 ÷ 31 = 4 remainder 11 |
| 4 | 31 ÷ 11 = 2 remainder 9 |
| 5 | 11 ÷ 9 = 1 remainder 2 |
| 6 | 9 ÷ 2 = 4 remainder 1 |
| 7 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 138 and 153 | 7038 |
| 80 and 168 | 1680 |
| 112 and 19 | 2128 |
| 21 and 189 | 189 |
| 89 and 64 | 5696 |