Least Common Multiple (LCM) of 163 and 90
The least common multiple (LCM) of 163 and 90 is 14670.
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 163 and 90?
First, calculate the GCD of 163 and 90 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 163 ÷ 90 = 1 remainder 73 |
| 2 | 90 ÷ 73 = 1 remainder 17 |
| 3 | 73 ÷ 17 = 4 remainder 5 |
| 4 | 17 ÷ 5 = 3 remainder 2 |
| 5 | 5 ÷ 2 = 2 remainder 1 |
| 6 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 113 and 63 | 7119 |
| 180 and 26 | 2340 |
| 72 and 54 | 216 |
| 51 and 61 | 3111 |
| 163 and 145 | 23635 |