Least Common Multiple (LCM) of 110 and 126
The least common multiple (LCM) of 110 and 126 is 6930.
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 110 and 126?
First, calculate the GCD of 110 and 126 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 110 ÷ 126 = 0 remainder 110 |
| 2 | 126 ÷ 110 = 1 remainder 16 |
| 3 | 110 ÷ 16 = 6 remainder 14 |
| 4 | 16 ÷ 14 = 1 remainder 2 |
| 5 | 14 ÷ 2 = 7 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 168 and 23 | 3864 |
| 25 and 111 | 2775 |
| 156 and 175 | 27300 |
| 117 and 138 | 5382 |
| 101 and 76 | 7676 |