Least Common Multiple (LCM) of 58 and 91
The least common multiple (LCM) of 58 and 91 is 5278.
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 91?
First, calculate the GCD of 58 and 91 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 58 ÷ 91 = 0 remainder 58 |
| 2 | 91 ÷ 58 = 1 remainder 33 |
| 3 | 58 ÷ 33 = 1 remainder 25 |
| 4 | 33 ÷ 25 = 1 remainder 8 |
| 5 | 25 ÷ 8 = 3 remainder 1 |
| 6 | 8 ÷ 1 = 8 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 195 and 55 | 2145 |
| 111 and 154 | 17094 |
| 191 and 189 | 36099 |
| 54 and 65 | 3510 |
| 144 and 55 | 7920 |