Least Common Multiple (LCM) of 100 and 116
The least common multiple (LCM) of 100 and 116 is 2900.
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 100 and 116?
First, calculate the GCD of 100 and 116 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 100 ÷ 116 = 0 remainder 100 |
| 2 | 116 ÷ 100 = 1 remainder 16 |
| 3 | 100 ÷ 16 = 6 remainder 4 |
| 4 | 16 ÷ 4 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 197 and 74 | 14578 |
| 81 and 67 | 5427 |
| 199 and 123 | 24477 |
| 20 and 175 | 700 |
| 64 and 179 | 11456 |