Least Common Multiple (LCM) of 123 and 93
The least common multiple (LCM) of 123 and 93 is 3813.
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 123 and 93?
First, calculate the GCD of 123 and 93 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 123 ÷ 93 = 1 remainder 30 |
| 2 | 93 ÷ 30 = 3 remainder 3 |
| 3 | 30 ÷ 3 = 10 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 112 and 170 | 9520 |
| 175 and 173 | 30275 |
| 110 and 194 | 10670 |
| 55 and 179 | 9845 |
| 49 and 78 | 3822 |