Least Common Multiple (LCM) of 126 and 123
The least common multiple (LCM) of 126 and 123 is 5166.
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 126 and 123?
First, calculate the GCD of 126 and 123 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 126 ÷ 123 = 1 remainder 3 |
| 2 | 123 ÷ 3 = 41 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 45 and 95 | 855 |
| 153 and 140 | 21420 |
| 199 and 59 | 11741 |
| 99 and 60 | 1980 |
| 111 and 99 | 3663 |