Least Common Multiple (LCM) of 126 and 148
The least common multiple (LCM) of 126 and 148 is 9324.
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 148?
First, calculate the GCD of 126 and 148 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 126 ÷ 148 = 0 remainder 126 |
| 2 | 148 ÷ 126 = 1 remainder 22 |
| 3 | 126 ÷ 22 = 5 remainder 16 |
| 4 | 22 ÷ 16 = 1 remainder 6 |
| 5 | 16 ÷ 6 = 2 remainder 4 |
| 6 | 6 ÷ 4 = 1 remainder 2 |
| 7 | 4 ÷ 2 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 134 and 37 | 4958 |
| 64 and 112 | 448 |
| 130 and 20 | 260 |
| 180 and 118 | 10620 |
| 165 and 81 | 4455 |