Least Common Multiple (LCM) of 115 and 121
The least common multiple (LCM) of 115 and 121 is 13915.
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 115 and 121?
First, calculate the GCD of 115 and 121 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 115 ÷ 121 = 0 remainder 115 |
| 2 | 121 ÷ 115 = 1 remainder 6 |
| 3 | 115 ÷ 6 = 19 remainder 1 |
| 4 | 6 ÷ 1 = 6 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 35 and 134 | 4690 |
| 162 and 167 | 27054 |
| 157 and 133 | 20881 |
| 16 and 31 | 496 |
| 70 and 151 | 10570 |