Least Common Multiple (LCM) of 126 and 88
The least common multiple (LCM) of 126 and 88 is 5544.
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 88?
First, calculate the GCD of 126 and 88 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 126 ÷ 88 = 1 remainder 38 |
| 2 | 88 ÷ 38 = 2 remainder 12 |
| 3 | 38 ÷ 12 = 3 remainder 2 |
| 4 | 12 ÷ 2 = 6 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 27 and 25 | 675 |
| 102 and 118 | 6018 |
| 162 and 164 | 13284 |
| 56 and 51 | 2856 |
| 198 and 28 | 2772 |