Least Common Multiple (LCM) of 39 and 181
The least common multiple (LCM) of 39 and 181 is 7059.
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 39 and 181?
First, calculate the GCD of 39 and 181 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 39 ÷ 181 = 0 remainder 39 |
| 2 | 181 ÷ 39 = 4 remainder 25 |
| 3 | 39 ÷ 25 = 1 remainder 14 |
| 4 | 25 ÷ 14 = 1 remainder 11 |
| 5 | 14 ÷ 11 = 1 remainder 3 |
| 6 | 11 ÷ 3 = 3 remainder 2 |
| 7 | 3 ÷ 2 = 1 remainder 1 |
| 8 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 157 and 118 | 18526 |
| 20 and 27 | 540 |
| 105 and 88 | 9240 |
| 65 and 135 | 1755 |
| 67 and 40 | 2680 |