Least Common Multiple (LCM) of 93 and 91
The least common multiple (LCM) of 93 and 91 is 8463.
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 91?
First, calculate the GCD of 93 and 91 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 93 ÷ 91 = 1 remainder 2 |
| 2 | 91 ÷ 2 = 45 remainder 1 |
| 3 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 165 and 105 | 1155 |
| 129 and 165 | 7095 |
| 16 and 17 | 272 |
| 135 and 169 | 22815 |
| 171 and 134 | 22914 |