Least Common Multiple (LCM) of 150 and 191
The least common multiple (LCM) of 150 and 191 is 28650.
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 191?
First, calculate the GCD of 150 and 191 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 150 ÷ 191 = 0 remainder 150 |
| 2 | 191 ÷ 150 = 1 remainder 41 |
| 3 | 150 ÷ 41 = 3 remainder 27 |
| 4 | 41 ÷ 27 = 1 remainder 14 |
| 5 | 27 ÷ 14 = 1 remainder 13 |
| 6 | 14 ÷ 13 = 1 remainder 1 |
| 7 | 13 ÷ 1 = 13 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 123 and 153 | 6273 |
| 65 and 31 | 2015 |
| 21 and 81 | 567 |
| 183 and 170 | 31110 |
| 66 and 183 | 4026 |