Least Common Multiple (LCM) of 14 and 160
The least common multiple (LCM) of 14 and 160 is 1120.
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 14 and 160?
First, calculate the GCD of 14 and 160 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 14 ÷ 160 = 0 remainder 14 |
| 2 | 160 ÷ 14 = 11 remainder 6 |
| 3 | 14 ÷ 6 = 2 remainder 2 |
| 4 | 6 ÷ 2 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 100 and 72 | 1800 |
| 95 and 154 | 14630 |
| 160 and 105 | 3360 |
| 101 and 77 | 7777 |
| 133 and 121 | 16093 |