Least Common Multiple (LCM) of 149 and 138
The least common multiple (LCM) of 149 and 138 is 20562.
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 138?
First, calculate the GCD of 149 and 138 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 149 ÷ 138 = 1 remainder 11 |
| 2 | 138 ÷ 11 = 12 remainder 6 |
| 3 | 11 ÷ 6 = 1 remainder 5 |
| 4 | 6 ÷ 5 = 1 remainder 1 |
| 5 | 5 ÷ 1 = 5 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 103 and 132 | 13596 |
| 65 and 79 | 5135 |
| 189 and 119 | 3213 |
| 41 and 169 | 6929 |
| 180 and 18 | 180 |