Least Common Multiple (LCM) of 191 and 183
The least common multiple (LCM) of 191 and 183 is 34953.
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 183?
First, calculate the GCD of 191 and 183 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 191 ÷ 183 = 1 remainder 8 |
| 2 | 183 ÷ 8 = 22 remainder 7 |
| 3 | 8 ÷ 7 = 1 remainder 1 |
| 4 | 7 ÷ 1 = 7 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 56 and 141 | 7896 |
| 113 and 45 | 5085 |
| 135 and 150 | 1350 |
| 160 and 27 | 4320 |
| 109 and 58 | 6322 |