Least Common Multiple (LCM) of 66 and 155
The least common multiple (LCM) of 66 and 155 is 10230.
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 66 and 155?
First, calculate the GCD of 66 and 155 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 66 ÷ 155 = 0 remainder 66 |
| 2 | 155 ÷ 66 = 2 remainder 23 |
| 3 | 66 ÷ 23 = 2 remainder 20 |
| 4 | 23 ÷ 20 = 1 remainder 3 |
| 5 | 20 ÷ 3 = 6 remainder 2 |
| 6 | 3 ÷ 2 = 1 remainder 1 |
| 7 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 170 and 187 | 1870 |
| 135 and 95 | 2565 |
| 125 and 45 | 1125 |
| 154 and 155 | 23870 |
| 37 and 80 | 2960 |