Least Common Multiple (LCM) of 195 and 149
The least common multiple (LCM) of 195 and 149 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 195 and 149?
First, calculate the GCD of 195 and 149 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 195 ÷ 149 = 1 remainder 46 |
| 2 | 149 ÷ 46 = 3 remainder 11 |
| 3 | 46 ÷ 11 = 4 remainder 2 |
| 4 | 11 ÷ 2 = 5 remainder 1 |
| 5 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 114 and 146 | 8322 |
| 111 and 23 | 2553 |
| 176 and 73 | 12848 |
| 137 and 138 | 18906 |
| 100 and 183 | 18300 |