Least Common Multiple (LCM) of 93 and 52
The least common multiple (LCM) of 93 and 52 is 4836.
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 52?
First, calculate the GCD of 93 and 52 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 93 ÷ 52 = 1 remainder 41 |
| 2 | 52 ÷ 41 = 1 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 |
|---|---|
| 121 and 183 | 22143 |
| 170 and 82 | 6970 |
| 158 and 83 | 13114 |
| 98 and 170 | 8330 |
| 106 and 80 | 4240 |