Least Common Multiple (LCM) of 181 and 88
The least common multiple (LCM) of 181 and 88 is 15928.
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 88?
First, calculate the GCD of 181 and 88 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 181 ÷ 88 = 2 remainder 5 |
| 2 | 88 ÷ 5 = 17 remainder 3 |
| 3 | 5 ÷ 3 = 1 remainder 2 |
| 4 | 3 ÷ 2 = 1 remainder 1 |
| 5 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 114 and 140 | 7980 |
| 200 and 193 | 38600 |
| 136 and 98 | 6664 |
| 187 and 143 | 2431 |
| 33 and 66 | 66 |