Least Common Multiple (LCM) of 163 and 93
The least common multiple (LCM) of 163 and 93 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 163 and 93?
First, calculate the GCD of 163 and 93 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 163 ÷ 93 = 1 remainder 70 |
| 2 | 93 ÷ 70 = 1 remainder 23 |
| 3 | 70 ÷ 23 = 3 remainder 1 |
| 4 | 23 ÷ 1 = 23 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 51 and 91 | 4641 |
| 120 and 198 | 3960 |
| 34 and 151 | 5134 |
| 112 and 185 | 20720 |
| 134 and 75 | 10050 |