Least Common Multiple (LCM) of 138 and 121
The least common multiple (LCM) of 138 and 121 is 16698.
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 121?
First, calculate the GCD of 138 and 121 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 138 ÷ 121 = 1 remainder 17 |
| 2 | 121 ÷ 17 = 7 remainder 2 |
| 3 | 17 ÷ 2 = 8 remainder 1 |
| 4 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 82 and 115 | 9430 |
| 109 and 67 | 7303 |
| 150 and 28 | 2100 |
| 175 and 22 | 3850 |
| 115 and 33 | 3795 |