Least Common Multiple (LCM) of 186 and 141
The least common multiple (LCM) of 186 and 141 is 8742.
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 141?
First, calculate the GCD of 186 and 141 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 186 ÷ 141 = 1 remainder 45 |
| 2 | 141 ÷ 45 = 3 remainder 6 |
| 3 | 45 ÷ 6 = 7 remainder 3 |
| 4 | 6 ÷ 3 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 168 and 32 | 672 |
| 153 and 59 | 9027 |
| 199 and 44 | 8756 |
| 138 and 76 | 5244 |
| 109 and 135 | 14715 |