Least Common Multiple (LCM) of 141 and 187
The least common multiple (LCM) of 141 and 187 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 141 and 187?
First, calculate the GCD of 141 and 187 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 141 ÷ 187 = 0 remainder 141 |
| 2 | 187 ÷ 141 = 1 remainder 46 |
| 3 | 141 ÷ 46 = 3 remainder 3 |
| 4 | 46 ÷ 3 = 15 remainder 1 |
| 5 | 3 ÷ 1 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 125 and 45 | 1125 |
| 165 and 141 | 7755 |
| 82 and 182 | 7462 |
| 139 and 73 | 10147 |
| 157 and 51 | 8007 |