Least Common Multiple (LCM) of 181 and 112
The least common multiple (LCM) of 181 and 112 is 20272.
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 112?
First, calculate the GCD of 181 and 112 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 181 ÷ 112 = 1 remainder 69 |
| 2 | 112 ÷ 69 = 1 remainder 43 |
| 3 | 69 ÷ 43 = 1 remainder 26 |
| 4 | 43 ÷ 26 = 1 remainder 17 |
| 5 | 26 ÷ 17 = 1 remainder 9 |
| 6 | 17 ÷ 9 = 1 remainder 8 |
| 7 | 9 ÷ 8 = 1 remainder 1 |
| 8 | 8 ÷ 1 = 8 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 176 and 135 | 23760 |
| 137 and 169 | 23153 |
| 41 and 139 | 5699 |
| 178 and 152 | 13528 |
| 103 and 133 | 13699 |