Least Common Multiple (LCM) of 186 and 64
The least common multiple (LCM) of 186 and 64 is 5952.
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 64?
First, calculate the GCD of 186 and 64 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 186 ÷ 64 = 2 remainder 58 |
| 2 | 64 ÷ 58 = 1 remainder 6 |
| 3 | 58 ÷ 6 = 9 remainder 4 |
| 4 | 6 ÷ 4 = 1 remainder 2 |
| 5 | 4 ÷ 2 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 170 and 89 | 15130 |
| 75 and 129 | 3225 |
| 144 and 53 | 7632 |
| 186 and 36 | 1116 |
| 149 and 179 | 26671 |