Least Common Multiple (LCM) of 94 and 129
The least common multiple (LCM) of 94 and 129 is 12126.
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 94 and 129?
First, calculate the GCD of 94 and 129 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 94 ÷ 129 = 0 remainder 94 |
| 2 | 129 ÷ 94 = 1 remainder 35 |
| 3 | 94 ÷ 35 = 2 remainder 24 |
| 4 | 35 ÷ 24 = 1 remainder 11 |
| 5 | 24 ÷ 11 = 2 remainder 2 |
| 6 | 11 ÷ 2 = 5 remainder 1 |
| 7 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 99 and 71 | 7029 |
| 177 and 126 | 7434 |
| 164 and 23 | 3772 |
| 123 and 75 | 3075 |
| 81 and 49 | 3969 |