Least Common Multiple (LCM) of 58 and 19
The least common multiple (LCM) of 58 and 19 is 1102.
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 19?
First, calculate the GCD of 58 and 19 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 58 ÷ 19 = 3 remainder 1 |
| 2 | 19 ÷ 1 = 19 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 170 and 112 | 9520 |
| 44 and 37 | 1628 |
| 24 and 165 | 1320 |
| 84 and 50 | 2100 |
| 162 and 16 | 1296 |