Least Common Multiple (LCM) of 160 and 116
The least common multiple (LCM) of 160 and 116 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 160 and 116?
First, calculate the GCD of 160 and 116 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 160 ÷ 116 = 1 remainder 44 |
| 2 | 116 ÷ 44 = 2 remainder 28 |
| 3 | 44 ÷ 28 = 1 remainder 16 |
| 4 | 28 ÷ 16 = 1 remainder 12 |
| 5 | 16 ÷ 12 = 1 remainder 4 |
| 6 | 12 ÷ 4 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 105 and 35 | 105 |
| 91 and 170 | 15470 |
| 51 and 142 | 7242 |
| 46 and 124 | 2852 |
| 193 and 50 | 9650 |