Least Common Multiple (LCM) of 164 and 191
The least common multiple (LCM) of 164 and 191 is 31324.
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 164 and 191?
First, calculate the GCD of 164 and 191 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 164 ÷ 191 = 0 remainder 164 |
| 2 | 191 ÷ 164 = 1 remainder 27 |
| 3 | 164 ÷ 27 = 6 remainder 2 |
| 4 | 27 ÷ 2 = 13 remainder 1 |
| 5 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 62 and 118 | 3658 |
| 32 and 140 | 1120 |
| 161 and 109 | 17549 |
| 62 and 150 | 4650 |
| 180 and 91 | 16380 |