Least Common Multiple (LCM) of 88 and 108
The least common multiple (LCM) of 88 and 108 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 88 and 108?
First, calculate the GCD of 88 and 108 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 88 ÷ 108 = 0 remainder 88 |
| 2 | 108 ÷ 88 = 1 remainder 20 |
| 3 | 88 ÷ 20 = 4 remainder 8 |
| 4 | 20 ÷ 8 = 2 remainder 4 |
| 5 | 8 ÷ 4 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 198 and 180 | 1980 |
| 39 and 95 | 3705 |
| 198 and 94 | 9306 |
| 32 and 23 | 736 |
| 137 and 173 | 23701 |