Least Common Multiple (LCM) of 196 and 150
The least common multiple (LCM) of 196 and 150 is 14700.
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 196 and 150?
First, calculate the GCD of 196 and 150 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 196 ÷ 150 = 1 remainder 46 |
| 2 | 150 ÷ 46 = 3 remainder 12 |
| 3 | 46 ÷ 12 = 3 remainder 10 |
| 4 | 12 ÷ 10 = 1 remainder 2 |
| 5 | 10 ÷ 2 = 5 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 124 and 66 | 4092 |
| 40 and 141 | 5640 |
| 171 and 50 | 8550 |
| 45 and 183 | 2745 |
| 43 and 139 | 5977 |