Least Common Multiple (LCM) of 11 and 58
The least common multiple (LCM) of 11 and 58 is 638.
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 11 and 58?
First, calculate the GCD of 11 and 58 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 11 ÷ 58 = 0 remainder 11 |
| 2 | 58 ÷ 11 = 5 remainder 3 |
| 3 | 11 ÷ 3 = 3 remainder 2 |
| 4 | 3 ÷ 2 = 1 remainder 1 |
| 5 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 154 and 164 | 12628 |
| 59 and 152 | 8968 |
| 72 and 54 | 216 |
| 190 and 13 | 2470 |
| 94 and 36 | 1692 |