Least Common Multiple (LCM) of 55 and 58
The least common multiple (LCM) of 55 and 58 is 3190.
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 55 and 58?
First, calculate the GCD of 55 and 58 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 55 ÷ 58 = 0 remainder 55 |
| 2 | 58 ÷ 55 = 1 remainder 3 |
| 3 | 55 ÷ 3 = 18 remainder 1 |
| 4 | 3 ÷ 1 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 51 and 175 | 8925 |
| 128 and 118 | 7552 |
| 172 and 83 | 14276 |
| 81 and 111 | 2997 |
| 120 and 98 | 5880 |