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 |
|---|---|
| 178 and 20 | 1780 |
| 129 and 49 | 6321 |
| 48 and 157 | 7536 |
| 75 and 153 | 3825 |
| 116 and 83 | 9628 |