Least Common Multiple (LCM) of 161 and 90
The least common multiple (LCM) of 161 and 90 is 14490.
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 161 and 90?
First, calculate the GCD of 161 and 90 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 161 ÷ 90 = 1 remainder 71 |
| 2 | 90 ÷ 71 = 1 remainder 19 |
| 3 | 71 ÷ 19 = 3 remainder 14 |
| 4 | 19 ÷ 14 = 1 remainder 5 |
| 5 | 14 ÷ 5 = 2 remainder 4 |
| 6 | 5 ÷ 4 = 1 remainder 1 |
| 7 | 4 ÷ 1 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 142 and 157 | 22294 |
| 139 and 142 | 19738 |
| 114 and 27 | 1026 |
| 150 and 45 | 450 |
| 12 and 137 | 1644 |