Least Common Multiple (LCM) of 138 and 104
The least common multiple (LCM) of 138 and 104 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 138 and 104?
First, calculate the GCD of 138 and 104 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 138 ÷ 104 = 1 remainder 34 |
| 2 | 104 ÷ 34 = 3 remainder 2 |
| 3 | 34 ÷ 2 = 17 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 165 and 46 | 7590 |
| 191 and 191 | 191 |
| 120 and 36 | 360 |
| 134 and 91 | 12194 |
| 157 and 167 | 26219 |