Least Common Multiple (LCM) of 58 and 97
The least common multiple (LCM) of 58 and 97 is 5626.
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 97?
First, calculate the GCD of 58 and 97 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 58 ÷ 97 = 0 remainder 58 |
| 2 | 97 ÷ 58 = 1 remainder 39 |
| 3 | 58 ÷ 39 = 1 remainder 19 |
| 4 | 39 ÷ 19 = 2 remainder 1 |
| 5 | 19 ÷ 1 = 19 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 98 and 106 | 5194 |
| 68 and 174 | 5916 |
| 113 and 99 | 11187 |
| 48 and 17 | 816 |
| 80 and 93 | 7440 |