Least Common Multiple (LCM) of 58 and 52
The least common multiple (LCM) of 58 and 52 is 1508.
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 52?
First, calculate the GCD of 58 and 52 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 58 ÷ 52 = 1 remainder 6 |
| 2 | 52 ÷ 6 = 8 remainder 4 |
| 3 | 6 ÷ 4 = 1 remainder 2 |
| 4 | 4 ÷ 2 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 87 and 109 | 9483 |
| 100 and 184 | 4600 |
| 185 and 74 | 370 |
| 131 and 141 | 18471 |
| 131 and 76 | 9956 |