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 |
|---|---|
| 103 and 47 | 4841 |
| 99 and 151 | 14949 |
| 112 and 10 | 560 |
| 53 and 107 | 5671 |
| 56 and 61 | 3416 |