Least Common Multiple (LCM) of 118 and 81
The least common multiple (LCM) of 118 and 81 is 9558.
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 118 and 81?
First, calculate the GCD of 118 and 81 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 118 ÷ 81 = 1 remainder 37 |
| 2 | 81 ÷ 37 = 2 remainder 7 |
| 3 | 37 ÷ 7 = 5 remainder 2 |
| 4 | 7 ÷ 2 = 3 remainder 1 |
| 5 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 54 and 121 | 6534 |
| 99 and 42 | 1386 |
| 195 and 81 | 5265 |
| 130 and 165 | 4290 |
| 121 and 60 | 7260 |