Least Common Multiple (LCM) of 178 and 58
The least common multiple (LCM) of 178 and 58 is 5162.
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 178 and 58?
First, calculate the GCD of 178 and 58 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 178 ÷ 58 = 3 remainder 4 |
| 2 | 58 ÷ 4 = 14 remainder 2 |
| 3 | 4 ÷ 2 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 38 and 53 | 2014 |
| 105 and 124 | 13020 |
| 39 and 89 | 3471 |
| 49 and 61 | 2989 |
| 123 and 91 | 11193 |