Least Common Multiple (LCM) of 122 and 115
The least common multiple (LCM) of 122 and 115 is 14030.
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 122 and 115?
First, calculate the GCD of 122 and 115 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 122 ÷ 115 = 1 remainder 7 |
| 2 | 115 ÷ 7 = 16 remainder 3 |
| 3 | 7 ÷ 3 = 2 remainder 1 |
| 4 | 3 ÷ 1 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 175 and 67 | 11725 |
| 87 and 173 | 15051 |
| 128 and 20 | 640 |
| 158 and 55 | 8690 |
| 31 and 53 | 1643 |