Least Common Multiple (LCM) of 100 and 2
The least common multiple (LCM) of 100 and 2 is 100.
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 2?
First, calculate the GCD of 100 and 2 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 100 ÷ 2 = 50 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 175 and 34 | 5950 |
| 15 and 66 | 330 |
| 39 and 13 | 39 |
| 81 and 28 | 2268 |
| 133 and 148 | 19684 |