Least Common Multiple (LCM) of 133 and 28
The least common multiple (LCM) of 133 and 28 is 532.
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 133 and 28?
First, calculate the GCD of 133 and 28 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 133 ÷ 28 = 4 remainder 21 |
| 2 | 28 ÷ 21 = 1 remainder 7 |
| 3 | 21 ÷ 7 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 108 and 75 | 2700 |
| 145 and 77 | 11165 |
| 165 and 36 | 1980 |
| 120 and 180 | 360 |
| 151 and 132 | 19932 |