Least Common Multiple (LCM) of 126 and 110
The least common multiple (LCM) of 126 and 110 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 126 and 110?
First, calculate the GCD of 126 and 110 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 126 ÷ 110 = 1 remainder 16 |
| 2 | 110 ÷ 16 = 6 remainder 14 |
| 3 | 16 ÷ 14 = 1 remainder 2 |
| 4 | 14 ÷ 2 = 7 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 99 and 174 | 5742 |
| 180 and 138 | 4140 |
| 10 and 55 | 110 |
| 51 and 54 | 918 |
| 137 and 44 | 6028 |