Least Common Multiple (LCM) of 123 and 123
The least common multiple (LCM) of 123 and 123 is 123.
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 123 and 123?
First, calculate the GCD of 123 and 123 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 123 ÷ 123 = 1 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 103 and 123 | 12669 |
| 44 and 77 | 308 |
| 191 and 147 | 28077 |
| 176 and 199 | 35024 |
| 115 and 30 | 690 |