Least Common Multiple (LCM) of 93 and 58
The least common multiple (LCM) of 93 and 58 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 93 and 58?
First, calculate the GCD of 93 and 58 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 93 ÷ 58 = 1 remainder 35 |
| 2 | 58 ÷ 35 = 1 remainder 23 |
| 3 | 35 ÷ 23 = 1 remainder 12 |
| 4 | 23 ÷ 12 = 1 remainder 11 |
| 5 | 12 ÷ 11 = 1 remainder 1 |
| 6 | 11 ÷ 1 = 11 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 119 and 156 | 18564 |
| 119 and 129 | 15351 |
| 109 and 167 | 18203 |
| 149 and 40 | 5960 |
| 28 and 188 | 1316 |