Least Common Multiple (LCM) of 138 and 110
The least common multiple (LCM) of 138 and 110 is 7590.
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 110?
First, calculate the GCD of 138 and 110 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 138 ÷ 110 = 1 remainder 28 |
| 2 | 110 ÷ 28 = 3 remainder 26 |
| 3 | 28 ÷ 26 = 1 remainder 2 |
| 4 | 26 ÷ 2 = 13 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 119 and 40 | 4760 |
| 44 and 68 | 748 |
| 101 and 91 | 9191 |
| 59 and 172 | 10148 |
| 197 and 89 | 17533 |