Least Common Multiple (LCM) of 160 and 196
The least common multiple (LCM) of 160 and 196 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 160 and 196?
First, calculate the GCD of 160 and 196 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 160 ÷ 196 = 0 remainder 160 |
| 2 | 196 ÷ 160 = 1 remainder 36 |
| 3 | 160 ÷ 36 = 4 remainder 16 |
| 4 | 36 ÷ 16 = 2 remainder 4 |
| 5 | 16 ÷ 4 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 66 and 157 | 10362 |
| 114 and 36 | 684 |
| 156 and 136 | 5304 |
| 161 and 124 | 19964 |
| 114 and 60 | 1140 |