Least Common Multiple (LCM) of 150 and 195
The least common multiple (LCM) of 150 and 195 is 1950.
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 150 and 195?
First, calculate the GCD of 150 and 195 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 150 ÷ 195 = 0 remainder 150 |
| 2 | 195 ÷ 150 = 1 remainder 45 |
| 3 | 150 ÷ 45 = 3 remainder 15 |
| 4 | 45 ÷ 15 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 95 and 191 | 18145 |
| 140 and 134 | 9380 |
| 159 and 84 | 4452 |
| 161 and 41 | 6601 |
| 72 and 122 | 4392 |