Least Common Multiple (LCM) of 149 and 178
The least common multiple (LCM) of 149 and 178 is 26522.
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 178?
First, calculate the GCD of 149 and 178 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 149 ÷ 178 = 0 remainder 149 |
| 2 | 178 ÷ 149 = 1 remainder 29 |
| 3 | 149 ÷ 29 = 5 remainder 4 |
| 4 | 29 ÷ 4 = 7 remainder 1 |
| 5 | 4 ÷ 1 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 193 and 180 | 34740 |
| 155 and 95 | 2945 |
| 185 and 68 | 12580 |
| 78 and 169 | 1014 |
| 189 and 142 | 26838 |