Least Common Multiple (LCM) of 121 and 123
The least common multiple (LCM) of 121 and 123 is 14883.
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 121 and 123?
First, calculate the GCD of 121 and 123 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 121 ÷ 123 = 0 remainder 121 |
| 2 | 123 ÷ 121 = 1 remainder 2 |
| 3 | 121 ÷ 2 = 60 remainder 1 |
| 4 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 138 and 29 | 4002 |
| 58 and 158 | 4582 |
| 106 and 177 | 18762 |
| 192 and 29 | 5568 |
| 33 and 165 | 165 |