Least Common Multiple (LCM) of 58 and 98
The least common multiple (LCM) of 58 and 98 is 2842.
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 98?
First, calculate the GCD of 58 and 98 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 58 ÷ 98 = 0 remainder 58 |
| 2 | 98 ÷ 58 = 1 remainder 40 |
| 3 | 58 ÷ 40 = 1 remainder 18 |
| 4 | 40 ÷ 18 = 2 remainder 4 |
| 5 | 18 ÷ 4 = 4 remainder 2 |
| 6 | 4 ÷ 2 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 190 and 64 | 6080 |
| 45 and 187 | 8415 |
| 188 and 144 | 6768 |
| 181 and 68 | 12308 |
| 125 and 197 | 24625 |