Least Common Multiple (LCM) of 104 and 88
The least common multiple (LCM) of 104 and 88 is 1144.
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 104 and 88?
First, calculate the GCD of 104 and 88 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 104 ÷ 88 = 1 remainder 16 |
| 2 | 88 ÷ 16 = 5 remainder 8 |
| 3 | 16 ÷ 8 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 67 and 165 | 11055 |
| 18 and 23 | 414 |
| 116 and 139 | 16124 |
| 70 and 12 | 420 |
| 83 and 191 | 15853 |