Least Common Multiple (LCM) of 160 and 185
The least common multiple (LCM) of 160 and 185 is 5920.
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 185?
First, calculate the GCD of 160 and 185 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 160 ÷ 185 = 0 remainder 160 |
| 2 | 185 ÷ 160 = 1 remainder 25 |
| 3 | 160 ÷ 25 = 6 remainder 10 |
| 4 | 25 ÷ 10 = 2 remainder 5 |
| 5 | 10 ÷ 5 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 14 and 35 | 70 |
| 17 and 93 | 1581 |
| 31 and 123 | 3813 |
| 135 and 83 | 11205 |
| 55 and 90 | 990 |