Least Common Multiple (LCM) of 118 and 96
The least common multiple (LCM) of 118 and 96 is 5664.
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 96?
First, calculate the GCD of 118 and 96 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 118 ÷ 96 = 1 remainder 22 |
| 2 | 96 ÷ 22 = 4 remainder 8 |
| 3 | 22 ÷ 8 = 2 remainder 6 |
| 4 | 8 ÷ 6 = 1 remainder 2 |
| 5 | 6 ÷ 2 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 14 and 179 | 2506 |
| 100 and 26 | 1300 |
| 199 and 189 | 37611 |
| 71 and 190 | 13490 |
| 81 and 42 | 1134 |