Least Common Multiple (LCM) of 149 and 177
The least common multiple (LCM) of 149 and 177 is 26373.
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 177?
First, calculate the GCD of 149 and 177 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 149 ÷ 177 = 0 remainder 149 |
| 2 | 177 ÷ 149 = 1 remainder 28 |
| 3 | 149 ÷ 28 = 5 remainder 9 |
| 4 | 28 ÷ 9 = 3 remainder 1 |
| 5 | 9 ÷ 1 = 9 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 111 and 165 | 6105 |
| 192 and 109 | 20928 |
| 69 and 150 | 3450 |
| 80 and 70 | 560 |
| 89 and 163 | 14507 |