Least Common Multiple (LCM) of 186 and 147
The least common multiple (LCM) of 186 and 147 is 9114.
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 147?
First, calculate the GCD of 186 and 147 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 186 ÷ 147 = 1 remainder 39 |
| 2 | 147 ÷ 39 = 3 remainder 30 |
| 3 | 39 ÷ 30 = 1 remainder 9 |
| 4 | 30 ÷ 9 = 3 remainder 3 |
| 5 | 9 ÷ 3 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 55 and 125 | 1375 |
| 85 and 75 | 1275 |
| 164 and 59 | 9676 |
| 134 and 60 | 4020 |
| 125 and 16 | 2000 |