Least Common Multiple (LCM) of 58 and 93
The least common multiple (LCM) of 58 and 93 is 5394.
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 58 and 93?
First, calculate the GCD of 58 and 93 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 58 ÷ 93 = 0 remainder 58 |
| 2 | 93 ÷ 58 = 1 remainder 35 |
| 3 | 58 ÷ 35 = 1 remainder 23 |
| 4 | 35 ÷ 23 = 1 remainder 12 |
| 5 | 23 ÷ 12 = 1 remainder 11 |
| 6 | 12 ÷ 11 = 1 remainder 1 |
| 7 | 11 ÷ 1 = 11 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 10 and 166 | 830 |
| 27 and 31 | 837 |
| 153 and 168 | 8568 |
| 71 and 100 | 7100 |
| 188 and 105 | 19740 |