Least Common Multiple (LCM) of 114 and 160
The least common multiple (LCM) of 114 and 160 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 114 and 160?
First, calculate the GCD of 114 and 160 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 114 ÷ 160 = 0 remainder 114 |
| 2 | 160 ÷ 114 = 1 remainder 46 |
| 3 | 114 ÷ 46 = 2 remainder 22 |
| 4 | 46 ÷ 22 = 2 remainder 2 |
| 5 | 22 ÷ 2 = 11 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 59 and 186 | 10974 |
| 137 and 121 | 16577 |
| 150 and 83 | 12450 |
| 139 and 75 | 10425 |
| 115 and 58 | 6670 |