Least Common Multiple (LCM) of 141 and 108
The least common multiple (LCM) of 141 and 108 is 5076.
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 108?
First, calculate the GCD of 141 and 108 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 141 ÷ 108 = 1 remainder 33 |
| 2 | 108 ÷ 33 = 3 remainder 9 |
| 3 | 33 ÷ 9 = 3 remainder 6 |
| 4 | 9 ÷ 6 = 1 remainder 3 |
| 5 | 6 ÷ 3 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 29 and 41 | 1189 |
| 193 and 44 | 8492 |
| 173 and 77 | 13321 |
| 135 and 84 | 3780 |
| 171 and 150 | 8550 |