Least Common Multiple (LCM) of 126 and 49
The least common multiple (LCM) of 126 and 49 is 882.
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 49?
First, calculate the GCD of 126 and 49 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 126 ÷ 49 = 2 remainder 28 |
| 2 | 49 ÷ 28 = 1 remainder 21 |
| 3 | 28 ÷ 21 = 1 remainder 7 |
| 4 | 21 ÷ 7 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 185 and 189 | 34965 |
| 95 and 24 | 2280 |
| 131 and 59 | 7729 |
| 145 and 96 | 13920 |
| 78 and 35 | 2730 |