Least Common Multiple (LCM) of 86 and 176
The least common multiple (LCM) of 86 and 176 is 7568.
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 86 and 176?
First, calculate the GCD of 86 and 176 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 86 ÷ 176 = 0 remainder 86 |
| 2 | 176 ÷ 86 = 2 remainder 4 |
| 3 | 86 ÷ 4 = 21 remainder 2 |
| 4 | 4 ÷ 2 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 197 and 132 | 26004 |
| 108 and 13 | 1404 |
| 119 and 85 | 595 |
| 65 and 14 | 910 |
| 38 and 38 | 38 |