Least Common Multiple (LCM) of 164 and 86
The least common multiple (LCM) of 164 and 86 is 7052.
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 164 and 86?
First, calculate the GCD of 164 and 86 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 164 ÷ 86 = 1 remainder 78 |
| 2 | 86 ÷ 78 = 1 remainder 8 |
| 3 | 78 ÷ 8 = 9 remainder 6 |
| 4 | 8 ÷ 6 = 1 remainder 2 |
| 5 | 6 ÷ 2 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 142 and 146 | 10366 |
| 59 and 56 | 3304 |
| 66 and 143 | 858 |
| 194 and 104 | 10088 |
| 14 and 104 | 728 |