Least Common Multiple (LCM) of 104 and 99
The least common multiple (LCM) of 104 and 99 is 10296.
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 104 and 99?
First, calculate the GCD of 104 and 99 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 104 ÷ 99 = 1 remainder 5 |
| 2 | 99 ÷ 5 = 19 remainder 4 |
| 3 | 5 ÷ 4 = 1 remainder 1 |
| 4 | 4 ÷ 1 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 149 and 18 | 2682 |
| 146 and 166 | 12118 |
| 98 and 38 | 1862 |
| 138 and 32 | 2208 |
| 58 and 41 | 2378 |