Least Common Multiple (LCM) of 191 and 48
The least common multiple (LCM) of 191 and 48 is 9168.
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 48?
First, calculate the GCD of 191 and 48 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 191 ÷ 48 = 3 remainder 47 |
| 2 | 48 ÷ 47 = 1 remainder 1 |
| 3 | 47 ÷ 1 = 47 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 112 and 28 | 112 |
| 183 and 188 | 34404 |
| 28 and 167 | 4676 |
| 105 and 103 | 10815 |
| 118 and 80 | 4720 |