Least Common Multiple (LCM) of 55 and 61
The least common multiple (LCM) of 55 and 61 is 3355.
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 61?
First, calculate the GCD of 55 and 61 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 55 ÷ 61 = 0 remainder 55 |
| 2 | 61 ÷ 55 = 1 remainder 6 |
| 3 | 55 ÷ 6 = 9 remainder 1 |
| 4 | 6 ÷ 1 = 6 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 44 and 121 | 484 |
| 192 and 177 | 11328 |
| 197 and 79 | 15563 |
| 25 and 106 | 2650 |
| 179 and 198 | 35442 |