Least Common Multiple (LCM) of 126 and 22
The least common multiple (LCM) of 126 and 22 is 1386.
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 22?
First, calculate the GCD of 126 and 22 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 126 ÷ 22 = 5 remainder 16 |
| 2 | 22 ÷ 16 = 1 remainder 6 |
| 3 | 16 ÷ 6 = 2 remainder 4 |
| 4 | 6 ÷ 4 = 1 remainder 2 |
| 5 | 4 ÷ 2 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 152 and 58 | 4408 |
| 25 and 176 | 4400 |
| 107 and 125 | 13375 |
| 127 and 56 | 7112 |
| 26 and 89 | 2314 |