Least Common Multiple (LCM) of 191 and 52
The least common multiple (LCM) of 191 and 52 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 191 and 52?
First, calculate the GCD of 191 and 52 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 191 ÷ 52 = 3 remainder 35 |
| 2 | 52 ÷ 35 = 1 remainder 17 |
| 3 | 35 ÷ 17 = 2 remainder 1 |
| 4 | 17 ÷ 1 = 17 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 153 and 146 | 22338 |
| 56 and 53 | 2968 |
| 178 and 179 | 31862 |
| 145 and 135 | 3915 |
| 155 and 121 | 18755 |