Least Common Multiple (LCM) of 100 and 104
The least common multiple (LCM) of 100 and 104 is 2600.
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 104?
First, calculate the GCD of 100 and 104 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 100 ÷ 104 = 0 remainder 100 |
| 2 | 104 ÷ 100 = 1 remainder 4 |
| 3 | 100 ÷ 4 = 25 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 82 and 165 | 13530 |
| 200 and 140 | 1400 |
| 194 and 109 | 21146 |
| 138 and 109 | 15042 |
| 53 and 33 | 1749 |