Least Common Multiple (LCM) of 181 and 107
The least common multiple (LCM) of 181 and 107 is 19367.
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 181 and 107?
First, calculate the GCD of 181 and 107 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 181 ÷ 107 = 1 remainder 74 |
| 2 | 107 ÷ 74 = 1 remainder 33 |
| 3 | 74 ÷ 33 = 2 remainder 8 |
| 4 | 33 ÷ 8 = 4 remainder 1 |
| 5 | 8 ÷ 1 = 8 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 156 and 141 | 7332 |
| 143 and 60 | 8580 |
| 74 and 161 | 11914 |
| 120 and 83 | 9960 |
| 31 and 68 | 2108 |