Least Common Multiple (LCM) of 160 and 191
The least common multiple (LCM) of 160 and 191 is 30560.
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 160 and 191?
First, calculate the GCD of 160 and 191 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 160 ÷ 191 = 0 remainder 160 |
| 2 | 191 ÷ 160 = 1 remainder 31 |
| 3 | 160 ÷ 31 = 5 remainder 5 |
| 4 | 31 ÷ 5 = 6 remainder 1 |
| 5 | 5 ÷ 1 = 5 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 131 and 197 | 25807 |
| 65 and 72 | 4680 |
| 90 and 142 | 6390 |
| 105 and 168 | 840 |
| 38 and 58 | 1102 |