Least Common Multiple (LCM) of 150 and 52
The least common multiple (LCM) of 150 and 52 is 3900.
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 52?
First, calculate the GCD of 150 and 52 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 150 ÷ 52 = 2 remainder 46 |
| 2 | 52 ÷ 46 = 1 remainder 6 |
| 3 | 46 ÷ 6 = 7 remainder 4 |
| 4 | 6 ÷ 4 = 1 remainder 2 |
| 5 | 4 ÷ 2 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 60 and 61 | 3660 |
| 26 and 100 | 1300 |
| 35 and 197 | 6895 |
| 85 and 188 | 15980 |
| 52 and 133 | 6916 |