Least Common Multiple (LCM) of 108 and 88
The least common multiple (LCM) of 108 and 88 is 2376.
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 108 and 88?
First, calculate the GCD of 108 and 88 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 108 ÷ 88 = 1 remainder 20 |
| 2 | 88 ÷ 20 = 4 remainder 8 |
| 3 | 20 ÷ 8 = 2 remainder 4 |
| 4 | 8 ÷ 4 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 104 and 161 | 16744 |
| 97 and 55 | 5335 |
| 123 and 14 | 1722 |
| 164 and 121 | 19844 |
| 88 and 125 | 11000 |