Least Common Multiple (LCM) of 64 and 186
The least common multiple (LCM) of 64 and 186 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 64 and 186?
First, calculate the GCD of 64 and 186 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 64 ÷ 186 = 0 remainder 64 |
| 2 | 186 ÷ 64 = 2 remainder 58 |
| 3 | 64 ÷ 58 = 1 remainder 6 |
| 4 | 58 ÷ 6 = 9 remainder 4 |
| 5 | 6 ÷ 4 = 1 remainder 2 |
| 6 | 4 ÷ 2 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 42 and 126 | 126 |
| 58 and 198 | 5742 |
| 155 and 168 | 26040 |
| 158 and 156 | 12324 |
| 120 and 173 | 20760 |