Least Common Multiple (LCM) of 141 and 107
The least common multiple (LCM) of 141 and 107 is 15087.
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 107?
First, calculate the GCD of 141 and 107 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 141 ÷ 107 = 1 remainder 34 |
| 2 | 107 ÷ 34 = 3 remainder 5 |
| 3 | 34 ÷ 5 = 6 remainder 4 |
| 4 | 5 ÷ 4 = 1 remainder 1 |
| 5 | 4 ÷ 1 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 182 and 33 | 6006 |
| 47 and 65 | 3055 |
| 34 and 13 | 442 |
| 155 and 121 | 18755 |
| 112 and 191 | 21392 |