Least Common Multiple (LCM) of 104 and 106
The least common multiple (LCM) of 104 and 106 is 5512.
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 106?
First, calculate the GCD of 104 and 106 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 104 ÷ 106 = 0 remainder 104 |
| 2 | 106 ÷ 104 = 1 remainder 2 |
| 3 | 104 ÷ 2 = 52 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 186 and 140 | 13020 |
| 53 and 36 | 1908 |
| 170 and 146 | 12410 |
| 116 and 94 | 5452 |
| 118 and 191 | 22538 |