Least Common Multiple (LCM) of 55 and 88
The least common multiple (LCM) of 55 and 88 is 440.
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 88?
First, calculate the GCD of 55 and 88 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 55 ÷ 88 = 0 remainder 55 |
| 2 | 88 ÷ 55 = 1 remainder 33 |
| 3 | 55 ÷ 33 = 1 remainder 22 |
| 4 | 33 ÷ 22 = 1 remainder 11 |
| 5 | 22 ÷ 11 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 103 and 107 | 11021 |
| 125 and 93 | 11625 |
| 123 and 168 | 6888 |
| 35 and 169 | 5915 |
| 33 and 122 | 4026 |