Least Common Multiple (LCM) of 164 and 186
The least common multiple (LCM) of 164 and 186 is 15252.
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 186?
First, calculate the GCD of 164 and 186 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 164 ÷ 186 = 0 remainder 164 |
| 2 | 186 ÷ 164 = 1 remainder 22 |
| 3 | 164 ÷ 22 = 7 remainder 10 |
| 4 | 22 ÷ 10 = 2 remainder 2 |
| 5 | 10 ÷ 2 = 5 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 71 and 75 | 5325 |
| 74 and 168 | 6216 |
| 33 and 126 | 1386 |
| 146 and 85 | 12410 |
| 50 and 113 | 5650 |