Least Common Multiple (LCM) of 183 and 122
The least common multiple (LCM) of 183 and 122 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 183 and 122?
First, calculate the GCD of 183 and 122 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 183 ÷ 122 = 1 remainder 61 |
| 2 | 122 ÷ 61 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 14 and 72 | 504 |
| 36 and 150 | 900 |
| 92 and 139 | 12788 |
| 182 and 140 | 1820 |
| 175 and 174 | 30450 |