Least Common Multiple (LCM) of 35 and 191
The least common multiple (LCM) of 35 and 191 is 6685.
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 35 and 191?
First, calculate the GCD of 35 and 191 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 35 ÷ 191 = 0 remainder 35 |
| 2 | 191 ÷ 35 = 5 remainder 16 |
| 3 | 35 ÷ 16 = 2 remainder 3 |
| 4 | 16 ÷ 3 = 5 remainder 1 |
| 5 | 3 ÷ 1 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 168 and 165 | 9240 |
| 156 and 167 | 26052 |
| 66 and 31 | 2046 |
| 101 and 83 | 8383 |
| 51 and 115 | 5865 |