Least Common Multiple (LCM) of 122 and 123
The least common multiple (LCM) of 122 and 123 is 15006.
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 123?
First, calculate the GCD of 122 and 123 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 122 ÷ 123 = 0 remainder 122 |
| 2 | 123 ÷ 122 = 1 remainder 1 |
| 3 | 122 ÷ 1 = 122 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 88 and 121 | 968 |
| 17 and 15 | 255 |
| 41 and 138 | 5658 |
| 102 and 182 | 9282 |
| 183 and 109 | 19947 |