Least Common Multiple (LCM) of 93 and 163
The least common multiple (LCM) of 93 and 163 is 15159.
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 93 and 163?
First, calculate the GCD of 93 and 163 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 93 ÷ 163 = 0 remainder 93 |
| 2 | 163 ÷ 93 = 1 remainder 70 |
| 3 | 93 ÷ 70 = 1 remainder 23 |
| 4 | 70 ÷ 23 = 3 remainder 1 |
| 5 | 23 ÷ 1 = 23 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 193 and 20 | 3860 |
| 145 and 29 | 145 |
| 106 and 108 | 5724 |
| 128 and 34 | 2176 |
| 70 and 132 | 4620 |