Least Common Multiple (LCM) of 84 and 181
The least common multiple (LCM) of 84 and 181 is 15204.
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 84 and 181?
First, calculate the GCD of 84 and 181 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 84 ÷ 181 = 0 remainder 84 |
| 2 | 181 ÷ 84 = 2 remainder 13 |
| 3 | 84 ÷ 13 = 6 remainder 6 |
| 4 | 13 ÷ 6 = 2 remainder 1 |
| 5 | 6 ÷ 1 = 6 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 172 and 156 | 6708 |
| 185 and 42 | 7770 |
| 114 and 106 | 6042 |
| 72 and 185 | 13320 |
| 25 and 43 | 1075 |