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 |
|---|---|
| 65 and 90 | 1170 |
| 125 and 120 | 3000 |
| 122 and 93 | 11346 |
| 91 and 110 | 10010 |
| 107 and 65 | 6955 |