Least Common Multiple (LCM) of 93 and 134
The least common multiple (LCM) of 93 and 134 is 12462.
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 134?
First, calculate the GCD of 93 and 134 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 93 ÷ 134 = 0 remainder 93 |
| 2 | 134 ÷ 93 = 1 remainder 41 |
| 3 | 93 ÷ 41 = 2 remainder 11 |
| 4 | 41 ÷ 11 = 3 remainder 8 |
| 5 | 11 ÷ 8 = 1 remainder 3 |
| 6 | 8 ÷ 3 = 2 remainder 2 |
| 7 | 3 ÷ 2 = 1 remainder 1 |
| 8 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 30 and 146 | 2190 |
| 27 and 84 | 756 |
| 67 and 97 | 6499 |
| 104 and 163 | 16952 |
| 142 and 116 | 8236 |