Least Common Multiple (LCM) of 123 and 25
The least common multiple (LCM) of 123 and 25 is 3075.
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 25?
First, calculate the GCD of 123 and 25 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 123 ÷ 25 = 4 remainder 23 |
| 2 | 25 ÷ 23 = 1 remainder 2 |
| 3 | 23 ÷ 2 = 11 remainder 1 |
| 4 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 184 and 127 | 23368 |
| 146 and 46 | 3358 |
| 118 and 74 | 4366 |
| 50 and 27 | 1350 |
| 111 and 199 | 22089 |