Least Common Multiple (LCM) of 104 and 42
The least common multiple (LCM) of 104 and 42 is 2184.
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 42?
First, calculate the GCD of 104 and 42 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 104 ÷ 42 = 2 remainder 20 |
| 2 | 42 ÷ 20 = 2 remainder 2 |
| 3 | 20 ÷ 2 = 10 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 126 and 13 | 1638 |
| 115 and 134 | 15410 |
| 198 and 127 | 25146 |
| 125 and 142 | 17750 |
| 100 and 98 | 4900 |