Least Common Multiple (LCM) of 123 and 94
The least common multiple (LCM) of 123 and 94 is 11562.
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 94?
First, calculate the GCD of 123 and 94 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 123 ÷ 94 = 1 remainder 29 |
| 2 | 94 ÷ 29 = 3 remainder 7 |
| 3 | 29 ÷ 7 = 4 remainder 1 |
| 4 | 7 ÷ 1 = 7 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 54 and 198 | 594 |
| 10 and 187 | 1870 |
| 96 and 97 | 9312 |
| 112 and 111 | 12432 |
| 116 and 142 | 8236 |