Least Common Multiple (LCM) of 186 and 101
The least common multiple (LCM) of 186 and 101 is 18786.
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 101?
First, calculate the GCD of 186 and 101 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 186 ÷ 101 = 1 remainder 85 |
| 2 | 101 ÷ 85 = 1 remainder 16 |
| 3 | 85 ÷ 16 = 5 remainder 5 |
| 4 | 16 ÷ 5 = 3 remainder 1 |
| 5 | 5 ÷ 1 = 5 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 175 and 93 | 16275 |
| 118 and 76 | 4484 |
| 165 and 63 | 3465 |
| 111 and 172 | 19092 |
| 96 and 149 | 14304 |