Least Common Multiple (LCM) of 122 and 183
The least common multiple (LCM) of 122 and 183 is 366.
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 183?
First, calculate the GCD of 122 and 183 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 122 ÷ 183 = 0 remainder 122 |
| 2 | 183 ÷ 122 = 1 remainder 61 |
| 3 | 122 ÷ 61 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 122 and 32 | 1952 |
| 103 and 45 | 4635 |
| 90 and 131 | 11790 |
| 109 and 58 | 6322 |
| 91 and 37 | 3367 |