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 |
|---|---|
| 121 and 70 | 8470 |
| 13 and 176 | 2288 |
| 38 and 192 | 3648 |
| 176 and 137 | 24112 |
| 191 and 147 | 28077 |