Least Common Multiple (LCM) of 186 and 35
The least common multiple (LCM) of 186 and 35 is 6510.
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 35?
First, calculate the GCD of 186 and 35 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 186 ÷ 35 = 5 remainder 11 |
| 2 | 35 ÷ 11 = 3 remainder 2 |
| 3 | 11 ÷ 2 = 5 remainder 1 |
| 4 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 55 and 172 | 9460 |
| 143 and 36 | 5148 |
| 175 and 25 | 175 |
| 78 and 65 | 390 |
| 100 and 181 | 18100 |