Least Common Multiple (LCM) of 55 and 82
The least common multiple (LCM) of 55 and 82 is 4510.
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 55 and 82?
First, calculate the GCD of 55 and 82 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 55 ÷ 82 = 0 remainder 55 |
| 2 | 82 ÷ 55 = 1 remainder 27 |
| 3 | 55 ÷ 27 = 2 remainder 1 |
| 4 | 27 ÷ 1 = 27 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 137 and 136 | 18632 |
| 196 and 189 | 5292 |
| 83 and 117 | 9711 |
| 149 and 117 | 17433 |
| 158 and 59 | 9322 |