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 |
|---|---|
| 152 and 198 | 15048 |
| 151 and 144 | 21744 |
| 32 and 75 | 2400 |
| 133 and 179 | 23807 |
| 12 and 153 | 612 |