Least Common Multiple (LCM) of 160 and 114
The least common multiple (LCM) of 160 and 114 is 9120.
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 114?
First, calculate the GCD of 160 and 114 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 160 ÷ 114 = 1 remainder 46 |
| 2 | 114 ÷ 46 = 2 remainder 22 |
| 3 | 46 ÷ 22 = 2 remainder 2 |
| 4 | 22 ÷ 2 = 11 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 31 and 67 | 2077 |
| 61 and 185 | 11285 |
| 167 and 197 | 32899 |
| 54 and 133 | 7182 |
| 17 and 19 | 323 |