Least Common Multiple (LCM) of 118 and 99
The least common multiple (LCM) of 118 and 99 is 11682.
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 99?
First, calculate the GCD of 118 and 99 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 118 ÷ 99 = 1 remainder 19 |
| 2 | 99 ÷ 19 = 5 remainder 4 |
| 3 | 19 ÷ 4 = 4 remainder 3 |
| 4 | 4 ÷ 3 = 1 remainder 1 |
| 5 | 3 ÷ 1 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 117 and 89 | 10413 |
| 44 and 137 | 6028 |
| 32 and 182 | 2912 |
| 162 and 23 | 3726 |
| 189 and 14 | 378 |