Least Common Multiple (LCM) of 86 and 184
The least common multiple (LCM) of 86 and 184 is 7912.
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 184?
First, calculate the GCD of 86 and 184 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 86 ÷ 184 = 0 remainder 86 |
| 2 | 184 ÷ 86 = 2 remainder 12 |
| 3 | 86 ÷ 12 = 7 remainder 2 |
| 4 | 12 ÷ 2 = 6 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 178 and 20 | 1780 |
| 124 and 168 | 5208 |
| 82 and 76 | 3116 |
| 129 and 103 | 13287 |
| 159 and 44 | 6996 |