Least Common Multiple (LCM) of 88 and 86
The least common multiple (LCM) of 88 and 86 is 3784.
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 86?
First, calculate the GCD of 88 and 86 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 88 ÷ 86 = 1 remainder 2 |
| 2 | 86 ÷ 2 = 43 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 21 and 86 | 1806 |
| 96 and 134 | 6432 |
| 194 and 180 | 17460 |
| 126 and 105 | 630 |
| 123 and 12 | 492 |