Least Common Multiple (LCM) of 166 and 136
The least common multiple (LCM) of 166 and 136 is 11288.
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 136?
First, calculate the GCD of 166 and 136 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 166 ÷ 136 = 1 remainder 30 |
| 2 | 136 ÷ 30 = 4 remainder 16 |
| 3 | 30 ÷ 16 = 1 remainder 14 |
| 4 | 16 ÷ 14 = 1 remainder 2 |
| 5 | 14 ÷ 2 = 7 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 182 and 156 | 1092 |
| 49 and 121 | 5929 |
| 196 and 64 | 3136 |
| 89 and 109 | 9701 |
| 31 and 51 | 1581 |