Least Common Multiple (LCM) of 58 and 51
The least common multiple (LCM) of 58 and 51 is 2958.
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 51?
First, calculate the GCD of 58 and 51 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 58 ÷ 51 = 1 remainder 7 |
| 2 | 51 ÷ 7 = 7 remainder 2 |
| 3 | 7 ÷ 2 = 3 remainder 1 |
| 4 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 124 and 160 | 4960 |
| 69 and 26 | 1794 |
| 20 and 87 | 1740 |
| 198 and 24 | 792 |
| 71 and 188 | 13348 |