Least Common Multiple (LCM) of 160 and 90
The least common multiple (LCM) of 160 and 90 is 1440.
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 90?
First, calculate the GCD of 160 and 90 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 160 ÷ 90 = 1 remainder 70 |
| 2 | 90 ÷ 70 = 1 remainder 20 |
| 3 | 70 ÷ 20 = 3 remainder 10 |
| 4 | 20 ÷ 10 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 196 and 100 | 4900 |
| 179 and 23 | 4117 |
| 159 and 96 | 5088 |
| 122 and 69 | 8418 |
| 20 and 15 | 60 |