Least Common Multiple (LCM) of 120 and 181
The least common multiple (LCM) of 120 and 181 is 21720.
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 120 and 181?
First, calculate the GCD of 120 and 181 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 120 ÷ 181 = 0 remainder 120 |
| 2 | 181 ÷ 120 = 1 remainder 61 |
| 3 | 120 ÷ 61 = 1 remainder 59 |
| 4 | 61 ÷ 59 = 1 remainder 2 |
| 5 | 59 ÷ 2 = 29 remainder 1 |
| 6 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 87 and 192 | 5568 |
| 131 and 104 | 13624 |
| 85 and 193 | 16405 |
| 101 and 52 | 5252 |
| 77 and 71 | 5467 |