Least Common Multiple (LCM) of 93 and 169
The least common multiple (LCM) of 93 and 169 is 15717.
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 169?
First, calculate the GCD of 93 and 169 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 93 ÷ 169 = 0 remainder 93 |
| 2 | 169 ÷ 93 = 1 remainder 76 |
| 3 | 93 ÷ 76 = 1 remainder 17 |
| 4 | 76 ÷ 17 = 4 remainder 8 |
| 5 | 17 ÷ 8 = 2 remainder 1 |
| 6 | 8 ÷ 1 = 8 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 112 and 165 | 18480 |
| 197 and 193 | 38021 |
| 133 and 168 | 3192 |
| 144 and 90 | 720 |
| 54 and 43 | 2322 |