Least Common Multiple (LCM) of 12 and 58
The least common multiple (LCM) of 12 and 58 is 348.
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 12 and 58?
First, calculate the GCD of 12 and 58 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 12 ÷ 58 = 0 remainder 12 |
| 2 | 58 ÷ 12 = 4 remainder 10 |
| 3 | 12 ÷ 10 = 1 remainder 2 |
| 4 | 10 ÷ 2 = 5 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 179 and 30 | 5370 |
| 28 and 157 | 4396 |
| 89 and 168 | 14952 |
| 119 and 196 | 3332 |
| 71 and 126 | 8946 |