Least Common Multiple (LCM) of 55 and 116
The least common multiple (LCM) of 55 and 116 is 6380.
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 116?
First, calculate the GCD of 55 and 116 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 55 ÷ 116 = 0 remainder 55 |
| 2 | 116 ÷ 55 = 2 remainder 6 |
| 3 | 55 ÷ 6 = 9 remainder 1 |
| 4 | 6 ÷ 1 = 6 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 193 and 98 | 18914 |
| 42 and 184 | 3864 |
| 106 and 99 | 10494 |
| 186 and 108 | 3348 |
| 189 and 100 | 18900 |