Least Common Multiple (LCM) of 55 and 92
The least common multiple (LCM) of 55 and 92 is 5060.
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 92?
First, calculate the GCD of 55 and 92 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 55 ÷ 92 = 0 remainder 55 |
| 2 | 92 ÷ 55 = 1 remainder 37 |
| 3 | 55 ÷ 37 = 1 remainder 18 |
| 4 | 37 ÷ 18 = 2 remainder 1 |
| 5 | 18 ÷ 1 = 18 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 172 and 172 | 172 |
| 104 and 57 | 5928 |
| 59 and 171 | 10089 |
| 78 and 12 | 156 |
| 78 and 58 | 2262 |