Least Common Multiple (LCM) of 149 and 74
The least common multiple (LCM) of 149 and 74 is 11026.
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 74?
First, calculate the GCD of 149 and 74 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 149 ÷ 74 = 2 remainder 1 |
| 2 | 74 ÷ 1 = 74 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 168 and 187 | 31416 |
| 162 and 53 | 8586 |
| 106 and 55 | 5830 |
| 156 and 62 | 4836 |
| 182 and 91 | 182 |