Least Common Multiple (LCM) of 72 and 181
The least common multiple (LCM) of 72 and 181 is 13032.
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 72 and 181?
First, calculate the GCD of 72 and 181 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 72 ÷ 181 = 0 remainder 72 |
| 2 | 181 ÷ 72 = 2 remainder 37 |
| 3 | 72 ÷ 37 = 1 remainder 35 |
| 4 | 37 ÷ 35 = 1 remainder 2 |
| 5 | 35 ÷ 2 = 17 remainder 1 |
| 6 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 54 and 72 | 216 |
| 128 and 112 | 896 |
| 186 and 34 | 3162 |
| 67 and 35 | 2345 |
| 99 and 10 | 990 |