Least Common Multiple (LCM) of 155 and 166
The least common multiple (LCM) of 155 and 166 is 25730.
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 155 and 166?
First, calculate the GCD of 155 and 166 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 155 ÷ 166 = 0 remainder 155 |
| 2 | 166 ÷ 155 = 1 remainder 11 |
| 3 | 155 ÷ 11 = 14 remainder 1 |
| 4 | 11 ÷ 1 = 11 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 27 and 44 | 1188 |
| 173 and 96 | 16608 |
| 166 and 112 | 9296 |
| 160 and 114 | 9120 |
| 116 and 10 | 580 |