Least Common Multiple (LCM) of 122 and 31
The least common multiple (LCM) of 122 and 31 is 3782.
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 31?
First, calculate the GCD of 122 and 31 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 122 ÷ 31 = 3 remainder 29 |
| 2 | 31 ÷ 29 = 1 remainder 2 |
| 3 | 29 ÷ 2 = 14 remainder 1 |
| 4 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 181 and 102 | 18462 |
| 158 and 21 | 3318 |
| 56 and 93 | 5208 |
| 115 and 116 | 13340 |
| 128 and 118 | 7552 |