Least Common Multiple (LCM) of 155 and 81
The least common multiple (LCM) of 155 and 81 is 12555.
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 81?
First, calculate the GCD of 155 and 81 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 155 ÷ 81 = 1 remainder 74 |
| 2 | 81 ÷ 74 = 1 remainder 7 |
| 3 | 74 ÷ 7 = 10 remainder 4 |
| 4 | 7 ÷ 4 = 1 remainder 3 |
| 5 | 4 ÷ 3 = 1 remainder 1 |
| 6 | 3 ÷ 1 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 141 and 105 | 4935 |
| 162 and 52 | 4212 |
| 29 and 118 | 3422 |
| 116 and 129 | 14964 |
| 106 and 14 | 742 |