Least Common Multiple (LCM) of 196 and 160
The least common multiple (LCM) of 196 and 160 is 7840.
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 196 and 160?
First, calculate the GCD of 196 and 160 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 196 ÷ 160 = 1 remainder 36 |
| 2 | 160 ÷ 36 = 4 remainder 16 |
| 3 | 36 ÷ 16 = 2 remainder 4 |
| 4 | 16 ÷ 4 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 113 and 71 | 8023 |
| 65 and 75 | 975 |
| 49 and 92 | 4508 |
| 61 and 31 | 1891 |
| 68 and 15 | 1020 |