Least Common Multiple (LCM) of 160 and 41
The least common multiple (LCM) of 160 and 41 is 6560.
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 41?
First, calculate the GCD of 160 and 41 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 160 ÷ 41 = 3 remainder 37 |
| 2 | 41 ÷ 37 = 1 remainder 4 |
| 3 | 37 ÷ 4 = 9 remainder 1 |
| 4 | 4 ÷ 1 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 49 and 33 | 1617 |
| 188 and 109 | 20492 |
| 88 and 100 | 2200 |
| 34 and 160 | 2720 |
| 191 and 18 | 3438 |