Least Common Multiple (LCM) of 149 and 152
The least common multiple (LCM) of 149 and 152 is 22648.
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 152?
First, calculate the GCD of 149 and 152 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 149 ÷ 152 = 0 remainder 149 |
| 2 | 152 ÷ 149 = 1 remainder 3 |
| 3 | 149 ÷ 3 = 49 remainder 2 |
| 4 | 3 ÷ 2 = 1 remainder 1 |
| 5 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 109 and 49 | 5341 |
| 158 and 178 | 14062 |
| 135 and 24 | 1080 |
| 77 and 192 | 14784 |
| 198 and 68 | 6732 |