Least Common Multiple (LCM) of 149 and 126
The least common multiple (LCM) of 149 and 126 is 18774.
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 149 and 126?
First, calculate the GCD of 149 and 126 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 149 ÷ 126 = 1 remainder 23 |
| 2 | 126 ÷ 23 = 5 remainder 11 |
| 3 | 23 ÷ 11 = 2 remainder 1 |
| 4 | 11 ÷ 1 = 11 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 107 and 113 | 12091 |
| 32 and 190 | 3040 |
| 99 and 83 | 8217 |
| 67 and 156 | 10452 |
| 81 and 105 | 2835 |