Least Common Multiple (LCM) of 50 and 151
The least common multiple (LCM) of 50 and 151 is 7550.
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 50 and 151?
First, calculate the GCD of 50 and 151 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 50 ÷ 151 = 0 remainder 50 |
| 2 | 151 ÷ 50 = 3 remainder 1 |
| 3 | 50 ÷ 1 = 50 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 147 and 125 | 18375 |
| 19 and 107 | 2033 |
| 99 and 110 | 990 |
| 158 and 41 | 6478 |
| 159 and 125 | 19875 |