Least Common Multiple (LCM) of 23 and 93
The least common multiple (LCM) of 23 and 93 is 2139.
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 23 and 93?
First, calculate the GCD of 23 and 93 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 23 ÷ 93 = 0 remainder 23 |
| 2 | 93 ÷ 23 = 4 remainder 1 |
| 3 | 23 ÷ 1 = 23 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 62 and 78 | 2418 |
| 104 and 62 | 3224 |
| 156 and 17 | 2652 |
| 128 and 114 | 7296 |
| 137 and 53 | 7261 |