Least Common Multiple (LCM) of 116 and 160
The least common multiple (LCM) of 116 and 160 is 4640.
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 116 and 160?
First, calculate the GCD of 116 and 160 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 116 ÷ 160 = 0 remainder 116 |
| 2 | 160 ÷ 116 = 1 remainder 44 |
| 3 | 116 ÷ 44 = 2 remainder 28 |
| 4 | 44 ÷ 28 = 1 remainder 16 |
| 5 | 28 ÷ 16 = 1 remainder 12 |
| 6 | 16 ÷ 12 = 1 remainder 4 |
| 7 | 12 ÷ 4 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 83 and 196 | 16268 |
| 156 and 152 | 5928 |
| 100 and 65 | 1300 |
| 87 and 38 | 3306 |
| 100 and 131 | 13100 |