Least Common Multiple (LCM) of 149 and 195
The least common multiple (LCM) of 149 and 195 is 29055.
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 195?
First, calculate the GCD of 149 and 195 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 149 ÷ 195 = 0 remainder 149 |
| 2 | 195 ÷ 149 = 1 remainder 46 |
| 3 | 149 ÷ 46 = 3 remainder 11 |
| 4 | 46 ÷ 11 = 4 remainder 2 |
| 5 | 11 ÷ 2 = 5 remainder 1 |
| 6 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 129 and 157 | 20253 |
| 150 and 11 | 1650 |
| 107 and 136 | 14552 |
| 173 and 171 | 29583 |
| 89 and 90 | 8010 |