Least Common Multiple (LCM) of 186 and 171
The least common multiple (LCM) of 186 and 171 is 10602.
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 171?
First, calculate the GCD of 186 and 171 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 186 ÷ 171 = 1 remainder 15 |
| 2 | 171 ÷ 15 = 11 remainder 6 |
| 3 | 15 ÷ 6 = 2 remainder 3 |
| 4 | 6 ÷ 3 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 11 and 54 | 594 |
| 88 and 93 | 8184 |
| 136 and 67 | 9112 |
| 90 and 98 | 4410 |
| 103 and 35 | 3605 |