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 |
|---|---|
| 103 and 100 | 10300 |
| 54 and 131 | 7074 |
| 107 and 110 | 11770 |
| 20 and 164 | 820 |
| 52 and 147 | 7644 |