Least Common Multiple (LCM) of 122 and 153
The least common multiple (LCM) of 122 and 153 is 18666.
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 153?
First, calculate the GCD of 122 and 153 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 122 ÷ 153 = 0 remainder 122 |
| 2 | 153 ÷ 122 = 1 remainder 31 |
| 3 | 122 ÷ 31 = 3 remainder 29 |
| 4 | 31 ÷ 29 = 1 remainder 2 |
| 5 | 29 ÷ 2 = 14 remainder 1 |
| 6 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 133 and 110 | 14630 |
| 191 and 71 | 13561 |
| 159 and 84 | 4452 |
| 20 and 150 | 300 |
| 190 and 181 | 34390 |