Least Common Multiple (LCM) of 186 and 164
The least common multiple (LCM) of 186 and 164 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 186 and 164?
First, calculate the GCD of 186 and 164 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 186 ÷ 164 = 1 remainder 22 |
| 2 | 164 ÷ 22 = 7 remainder 10 |
| 3 | 22 ÷ 10 = 2 remainder 2 |
| 4 | 10 ÷ 2 = 5 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 114 and 77 | 8778 |
| 55 and 139 | 7645 |
| 88 and 182 | 8008 |
| 54 and 37 | 1998 |
| 43 and 47 | 2021 |