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 |
|---|---|
| 106 and 76 | 4028 |
| 141 and 183 | 8601 |
| 101 and 142 | 14342 |
| 161 and 105 | 2415 |
| 130 and 44 | 2860 |