Least Common Multiple (LCM) of 194 and 150
The least common multiple (LCM) of 194 and 150 is 14550.
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 194 and 150?
First, calculate the GCD of 194 and 150 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 194 ÷ 150 = 1 remainder 44 |
| 2 | 150 ÷ 44 = 3 remainder 18 |
| 3 | 44 ÷ 18 = 2 remainder 8 |
| 4 | 18 ÷ 8 = 2 remainder 2 |
| 5 | 8 ÷ 2 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 127 and 115 | 14605 |
| 185 and 172 | 31820 |
| 98 and 156 | 7644 |
| 21 and 99 | 693 |
| 67 and 40 | 2680 |