Least Common Multiple (LCM) of 186 and 149
The least common multiple (LCM) of 186 and 149 is 27714.
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 149?
First, calculate the GCD of 186 and 149 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 186 ÷ 149 = 1 remainder 37 |
| 2 | 149 ÷ 37 = 4 remainder 1 |
| 3 | 37 ÷ 1 = 37 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 85 and 34 | 170 |
| 99 and 53 | 5247 |
| 92 and 105 | 9660 |
| 10 and 14 | 70 |
| 121 and 99 | 1089 |