Least Common Multiple (LCM) of 58 and 72
The least common multiple (LCM) of 58 and 72 is 2088.
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 72?
First, calculate the GCD of 58 and 72 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 58 ÷ 72 = 0 remainder 58 |
| 2 | 72 ÷ 58 = 1 remainder 14 |
| 3 | 58 ÷ 14 = 4 remainder 2 |
| 4 | 14 ÷ 2 = 7 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 181 and 199 | 36019 |
| 198 and 74 | 7326 |
| 131 and 155 | 20305 |
| 122 and 47 | 5734 |
| 43 and 171 | 7353 |