Least Common Multiple (LCM) of 58 and 49
The least common multiple (LCM) of 58 and 49 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 49?
First, calculate the GCD of 58 and 49 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 58 ÷ 49 = 1 remainder 9 |
| 2 | 49 ÷ 9 = 5 remainder 4 |
| 3 | 9 ÷ 4 = 2 remainder 1 |
| 4 | 4 ÷ 1 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 190 and 73 | 13870 |
| 74 and 192 | 7104 |
| 127 and 127 | 127 |
| 69 and 169 | 11661 |
| 183 and 141 | 8601 |