Least Common Multiple (LCM) of 126 and 190
The least common multiple (LCM) of 126 and 190 is 11970.
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 190?
First, calculate the GCD of 126 and 190 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 126 ÷ 190 = 0 remainder 126 |
| 2 | 190 ÷ 126 = 1 remainder 64 |
| 3 | 126 ÷ 64 = 1 remainder 62 |
| 4 | 64 ÷ 62 = 1 remainder 2 |
| 5 | 62 ÷ 2 = 31 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 27 and 132 | 1188 |
| 40 and 84 | 840 |
| 55 and 164 | 9020 |
| 180 and 167 | 30060 |
| 157 and 143 | 22451 |