Least Common Multiple (LCM) of 186 and 172
The least common multiple (LCM) of 186 and 172 is 15996.
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 172?
First, calculate the GCD of 186 and 172 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 186 ÷ 172 = 1 remainder 14 |
| 2 | 172 ÷ 14 = 12 remainder 4 |
| 3 | 14 ÷ 4 = 3 remainder 2 |
| 4 | 4 ÷ 2 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 104 and 115 | 11960 |
| 162 and 13 | 2106 |
| 96 and 56 | 672 |
| 133 and 153 | 20349 |
| 197 and 199 | 39203 |