Least Common Multiple (LCM) of 134 and 93
The least common multiple (LCM) of 134 and 93 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 134 and 93?
First, calculate the GCD of 134 and 93 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 134 ÷ 93 = 1 remainder 41 |
| 2 | 93 ÷ 41 = 2 remainder 11 |
| 3 | 41 ÷ 11 = 3 remainder 8 |
| 4 | 11 ÷ 8 = 1 remainder 3 |
| 5 | 8 ÷ 3 = 2 remainder 2 |
| 6 | 3 ÷ 2 = 1 remainder 1 |
| 7 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 106 and 19 | 2014 |
| 171 and 141 | 8037 |
| 110 and 140 | 1540 |
| 22 and 141 | 3102 |
| 164 and 117 | 19188 |