Least Common Multiple (LCM) of 126 and 149
The least common multiple (LCM) of 126 and 149 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 126 and 149?
First, calculate the GCD of 126 and 149 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 126 ÷ 149 = 0 remainder 126 |
| 2 | 149 ÷ 126 = 1 remainder 23 |
| 3 | 126 ÷ 23 = 5 remainder 11 |
| 4 | 23 ÷ 11 = 2 remainder 1 |
| 5 | 11 ÷ 1 = 11 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 69 and 28 | 1932 |
| 119 and 45 | 5355 |
| 172 and 40 | 1720 |
| 103 and 110 | 11330 |
| 137 and 161 | 22057 |