Least Common Multiple (LCM) of 181 and 72
The least common multiple (LCM) of 181 and 72 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 181 and 72?
First, calculate the GCD of 181 and 72 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 181 ÷ 72 = 2 remainder 37 |
| 2 | 72 ÷ 37 = 1 remainder 35 |
| 3 | 37 ÷ 35 = 1 remainder 2 |
| 4 | 35 ÷ 2 = 17 remainder 1 |
| 5 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 43 and 26 | 1118 |
| 21 and 72 | 504 |
| 177 and 28 | 4956 |
| 168 and 40 | 840 |
| 160 and 196 | 7840 |