Least Common Multiple (LCM) of 187 and 141
The least common multiple (LCM) of 187 and 141 is 26367.
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 187 and 141?
First, calculate the GCD of 187 and 141 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 187 ÷ 141 = 1 remainder 46 |
| 2 | 141 ÷ 46 = 3 remainder 3 |
| 3 | 46 ÷ 3 = 15 remainder 1 |
| 4 | 3 ÷ 1 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 196 and 85 | 16660 |
| 151 and 56 | 8456 |
| 106 and 51 | 5406 |
| 46 and 98 | 2254 |
| 113 and 19 | 2147 |