Least Common Multiple (LCM) of 58 and 156
The least common multiple (LCM) of 58 and 156 is 4524.
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 156?
First, calculate the GCD of 58 and 156 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 58 ÷ 156 = 0 remainder 58 |
| 2 | 156 ÷ 58 = 2 remainder 40 |
| 3 | 58 ÷ 40 = 1 remainder 18 |
| 4 | 40 ÷ 18 = 2 remainder 4 |
| 5 | 18 ÷ 4 = 4 remainder 2 |
| 6 | 4 ÷ 2 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 45 and 65 | 585 |
| 168 and 94 | 7896 |
| 126 and 103 | 12978 |
| 145 and 17 | 2465 |
| 195 and 145 | 5655 |