Least Common Multiple (LCM) of 44 and 126
The least common multiple (LCM) of 44 and 126 is 2772.
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 44 and 126?
First, calculate the GCD of 44 and 126 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 44 ÷ 126 = 0 remainder 44 |
| 2 | 126 ÷ 44 = 2 remainder 38 |
| 3 | 44 ÷ 38 = 1 remainder 6 |
| 4 | 38 ÷ 6 = 6 remainder 2 |
| 5 | 6 ÷ 2 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 39 and 114 | 1482 |
| 141 and 156 | 7332 |
| 116 and 31 | 3596 |
| 43 and 162 | 6966 |
| 120 and 127 | 15240 |