Least Common Multiple (LCM) of 104 and 138
The least common multiple (LCM) of 104 and 138 is 7176.
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 138?
First, calculate the GCD of 104 and 138 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 104 ÷ 138 = 0 remainder 104 |
| 2 | 138 ÷ 104 = 1 remainder 34 |
| 3 | 104 ÷ 34 = 3 remainder 2 |
| 4 | 34 ÷ 2 = 17 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 42 and 151 | 6342 |
| 121 and 22 | 242 |
| 24 and 118 | 1416 |
| 194 and 133 | 25802 |
| 39 and 190 | 7410 |