Least Common Multiple (LCM) of 52 and 191
The least common multiple (LCM) of 52 and 191 is 9932.
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 52 and 191?
First, calculate the GCD of 52 and 191 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 52 ÷ 191 = 0 remainder 52 |
| 2 | 191 ÷ 52 = 3 remainder 35 |
| 3 | 52 ÷ 35 = 1 remainder 17 |
| 4 | 35 ÷ 17 = 2 remainder 1 |
| 5 | 17 ÷ 1 = 17 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 33 and 63 | 693 |
| 20 and 157 | 3140 |
| 83 and 71 | 5893 |
| 192 and 124 | 5952 |
| 22 and 114 | 1254 |