Least Common Multiple (LCM) of 141 and 131
The least common multiple (LCM) of 141 and 131 is 18471.
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 131?
First, calculate the GCD of 141 and 131 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 141 ÷ 131 = 1 remainder 10 |
| 2 | 131 ÷ 10 = 13 remainder 1 |
| 3 | 10 ÷ 1 = 10 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 59 and 153 | 9027 |
| 104 and 127 | 13208 |
| 135 and 175 | 4725 |
| 93 and 64 | 5952 |
| 144 and 189 | 3024 |