Least Common Multiple (LCM) of 126 and 28
The least common multiple (LCM) of 126 and 28 is 252.
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 28?
First, calculate the GCD of 126 and 28 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 126 ÷ 28 = 4 remainder 14 |
| 2 | 28 ÷ 14 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 169 and 104 | 1352 |
| 52 and 109 | 5668 |
| 128 and 107 | 13696 |
| 37 and 165 | 6105 |
| 144 and 92 | 3312 |