Least Common Multiple (LCM) of 150 and 194
The least common multiple (LCM) of 150 and 194 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 150 and 194?
First, calculate the GCD of 150 and 194 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 150 ÷ 194 = 0 remainder 150 |
| 2 | 194 ÷ 150 = 1 remainder 44 |
| 3 | 150 ÷ 44 = 3 remainder 18 |
| 4 | 44 ÷ 18 = 2 remainder 8 |
| 5 | 18 ÷ 8 = 2 remainder 2 |
| 6 | 8 ÷ 2 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 182 and 141 | 25662 |
| 55 and 138 | 7590 |
| 150 and 140 | 2100 |
| 71 and 45 | 3195 |
| 175 and 85 | 2975 |