Least Common Multiple (LCM) of 93 and 121
The least common multiple (LCM) of 93 and 121 is 11253.
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 121?
First, calculate the GCD of 93 and 121 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 93 ÷ 121 = 0 remainder 93 |
| 2 | 121 ÷ 93 = 1 remainder 28 |
| 3 | 93 ÷ 28 = 3 remainder 9 |
| 4 | 28 ÷ 9 = 3 remainder 1 |
| 5 | 9 ÷ 1 = 9 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 22 and 39 | 858 |
| 195 and 180 | 2340 |
| 158 and 82 | 6478 |
| 54 and 89 | 4806 |
| 83 and 24 | 1992 |