Least Common Multiple (LCM) of 93 and 146
The least common multiple (LCM) of 93 and 146 is 13578.
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 146?
First, calculate the GCD of 93 and 146 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 93 ÷ 146 = 0 remainder 93 |
| 2 | 146 ÷ 93 = 1 remainder 53 |
| 3 | 93 ÷ 53 = 1 remainder 40 |
| 4 | 53 ÷ 40 = 1 remainder 13 |
| 5 | 40 ÷ 13 = 3 remainder 1 |
| 6 | 13 ÷ 1 = 13 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 196 and 168 | 1176 |
| 47 and 80 | 3760 |
| 121 and 171 | 20691 |
| 182 and 28 | 364 |
| 175 and 180 | 6300 |